id	sid	eid	entity	type
ejpam-6073	1	1	european journal	ORG
ejpam-6073	1	2	2025	DATE
ejpam-6073	1	3	18	CARDINAL
ejpam-6073	1	4	3	CARDINAL
ejpam-6073	1	5	6073	CARDINAL
ejpam-6073	1	6	new york	GPE
ejpam-6073	1	7	adel m. al-mahdi1,2,∗	PERSON
ejpam-6073	2	1	al-gharabli1,2	PERSON
ejpam-6073	2	2	mohammed d. kassim3	PERSON
ejpam-6073	2	3	soufyane4	PERSON
ejpam-6073	2	4	mostafa zahri4	PERSON
ejpam-6073	2	5	soh edwin mukiawa5	PERSON
ejpam-6073	2	6	1	CARDINAL
ejpam-6073	2	7	fahd university	ORG
ejpam-6073	2	8	31261	DATE
ejpam-6073	2	9	saudi arabia 2	GPE
ejpam-6073	2	10	king fahd university of petroleum	ORG
ejpam-6073	2	11	31261	DATE
ejpam-6073	2	12	saudi arabia	GPE
ejpam-6073	2	13	3	CARDINAL
ejpam-6073	2	14	imam abdulrahman bin faisal university	PERSON
ejpam-6073	2	15	p.o.	ORG
ejpam-6073	2	16	1982	DATE
ejpam-6073	2	17	34151	DATE
ejpam-6073	2	18	dammam	GPE
ejpam-6073	2	19	saudi arabia	GPE
ejpam-6073	2	20	4	CARDINAL
ejpam-6073	2	21	university of sharjah	ORG
ejpam-6073	2	22	sharjah	GPE
ejpam-6073	2	23	united arab	NORP
ejpam-6073	2	24	5	CARDINAL
ejpam-6073	2	25	al batin	PERSON
ejpam-6073	2	26	al batin	PERSON
ejpam-6073	2	27	39524	DATE
ejpam-6073	2	28	saudi arabia	GPE
ejpam-6073	3	1	geomechanics	ORG
ejpam-6073	4	1	two	CARDINAL
ejpam-6073	8	1	2020	DATE
ejpam-6073	8	2	35b40	CARDINAL
ejpam-6073	9	1	https://doi.org/10.29020/nybg.ejpam.v18i3.6073	NORP
ejpam-6073	9	2	almahdi@kfupm.edu.sa	PERSON
ejpam-6073	9	3	a. m. al-mahdi	PERSON
ejpam-6073	9	4	mahfouz@kfupm.edu.sa	ORG
ejpam-6073	9	5	m. m. al-gharabli	PERSON
ejpam-6073	9	6	m. d. kassim	PERSON
ejpam-6073	9	7	asoufyane@sharjah.ac.ae (a. soufyane	ORG
ejpam-6073	9	8	mzahri@sharjah.ac.ae	ORG
ejpam-6073	9	9	m. zahri	PERSON
ejpam-6073	9	10	mukiawa@uhb.edu.sa	PERSON
ejpam-6073	9	11	s. e. mukiawa	PERSON
ejpam-6073	10	1	1	CARDINAL
ejpam-6073	10	2	2025	CARDINAL
ejpam-6073	11	1	a. m. al-mahdi	PERSON
ejpam-6073	12	1	j. pure	PERSON
ejpam-6073	12	2	18	CARDINAL
ejpam-6073	12	3	3	CARDINAL
ejpam-6073	12	4	2025	CARDINAL
ejpam-6073	12	5	6073 2	DATE
ejpam-6073	15	1	1	CARDINAL
ejpam-6073	18	1	1	CARDINAL
ejpam-6073	18	2	2	CARDINAL
ejpam-6073	19	1	nelson	PERSON
ejpam-6073	19	2	miller	ORG
ejpam-6073	20	1	2	CARDINAL
ejpam-6073	20	2	american	NORP
ejpam-6073	20	3	one	CARDINAL
ejpam-6073	20	4	four	CARDINAL
ejpam-6073	26	1	two	CARDINAL
ejpam-6073	27	1	6	CARDINAL
ejpam-6073	29	1	1	CARDINAL
ejpam-6073	31	1	g1	ORG
ejpam-6073	31	2	f1	PERSON
ejpam-6073	31	3	a. m. al-mahdi	PERSON
ejpam-6073	32	1	j. pure	PERSON
ejpam-6073	32	2	18	CARDINAL
ejpam-6073	32	3	3	CARDINAL
ejpam-6073	32	4	2025	CARDINAL
ejpam-6073	32	5	6073 3	DATE
ejpam-6073	36	1	2	CARDINAL
ejpam-6073	37	1	a1a3	LANGUAGE
ejpam-6073	39	1	a1zxx	GPE
ejpam-6073	40	1	ξ(zt	CARDINAL
ejpam-6073	45	1	3	CARDINAL
ejpam-6073	47	1	wang	PERSON
ejpam-6073	47	2	guo	PERSON
ejpam-6073	48	1	8	CARDINAL
ejpam-6073	49	1	a1zxx	GPE
ejpam-6073	50	1	− ρzγ(x)zt	PERSON
ejpam-6073	52	1	+ a3uxx	DATE
ejpam-6073	52	2	4	CARDINAL
ejpam-6073	54	1	1	CARDINAL
ejpam-6073	54	2	9–12	CARDINAL
ejpam-6073	54	3	12	CARDINAL
ejpam-6073	55	1	recent years	DATE
ejpam-6073	56	1	one	CARDINAL
ejpam-6073	59	1	al-mahdi et al	PERSON
ejpam-6073	60	1	22	CARDINAL
ejpam-6073	60	2	a1zxx	DATE
ejpam-6073	60	3	0	CARDINAL
ejpam-6073	60	4	1)×	DATE
ejpam-6073	61	1	0	CARDINAL
ejpam-6073	61	2	1)×	DATE
ejpam-6073	61	3	5	CARDINAL
ejpam-6073	62	1	5	CARDINAL
ejpam-6073	62	2	0	CARDINAL
ejpam-6073	64	1	a. m. al-mahdi	PERSON
ejpam-6073	65	1	j. pure	PERSON
ejpam-6073	65	2	18	CARDINAL
ejpam-6073	65	3	3	CARDINAL
ejpam-6073	65	4	2025	CARDINAL
ejpam-6073	65	5	6073 4	DATE
ejpam-6073	65	6	29	CARDINAL
ejpam-6073	65	7	− a1zxx − a2uxx + γ|zt|p(·)−2zt = c|z|m(·)−2z	ORG
ejpam-6073	65	8	ω×	ORG
ejpam-6073	65	9	0,∞	DATE
ejpam-6073	67	1	d|u|ℓ(·)−2u	ORG
ejpam-6073	67	2	ω×	ORG
ejpam-6073	67	3	0,∞	DATE
ejpam-6073	67	4	u(x	ORG
ejpam-6073	67	5	0	CARDINAL
ejpam-6073	67	6	z(x	ORG
ejpam-6073	67	7	zt(x	GPE
ejpam-6073	67	8	0	CARDINAL
ejpam-6073	67	9	∈ ω	ORG
ejpam-6073	70	1	0	CARDINAL
ejpam-6073	70	2	6	CARDINAL
ejpam-6073	70	3	ω	CARDINAL
ejpam-6073	70	4	0	CARDINAL
ejpam-6073	70	5	1	CARDINAL
ejpam-6073	73	1	0	CARDINAL
ejpam-6073	75	1	6	CARDINAL
ejpam-6073	76	1	p(x	PERSON
ejpam-6073	76	2	q(x	PERSON
ejpam-6073	76	3	m(x	PERSON
ejpam-6073	76	4	ℓ(x	PERSON
ejpam-6073	83	1	first	ORDINAL
ejpam-6073	84	1	second	ORDINAL
ejpam-6073	86	1	first	ORDINAL
ejpam-6073	86	2	levine	PERSON
ejpam-6073	86	3	23	CARDINAL
ejpam-6073	86	4	24	CARDINAL
ejpam-6073	86	5	2	CARDINAL
ejpam-6073	86	6	ω	GPE
ejpam-6073	86	7	0	CARDINAL
ejpam-6073	86	8	7	CARDINAL
ejpam-6073	86	9	0	CARDINAL
ejpam-6073	86	10	2	CARDINAL
ejpam-6073	86	11	1	CARDINAL
ejpam-6073	86	12	ω	ORG
ejpam-6073	88	1	25	CARDINAL
ejpam-6073	88	2	levine	PERSON
ejpam-6073	88	3	2	CARDINAL
ejpam-6073	89	1	a. m. al-mahdi	PERSON
ejpam-6073	90	1	j. pure	PERSON
ejpam-6073	90	2	18	CARDINAL
ejpam-6073	90	3	3	CARDINAL
ejpam-6073	90	4	2025	CARDINAL
ejpam-6073	90	5	6073 5	DATE
ejpam-6073	90	6	29	CARDINAL
ejpam-6073	92	1	26	CARDINAL
ejpam-6073	92	2	25	CARDINAL
ejpam-6073	93	1	messaoudi	ORG
ejpam-6073	94	1	27]considered	CARDINAL
ejpam-6073	94	2	∫	ORG
ejpam-6073	94	3	∈ ω	ORG
ejpam-6073	94	4	0	CARDINAL
ejpam-6073	94	5	ω	ORG
ejpam-6073	95	1	m.	PERSON
ejpam-6073	97	1	2	CARDINAL
ejpam-6073	98	1	ω	ORG
ejpam-6073	98	2	0	CARDINAL
ejpam-6073	98	3	1	CARDINAL
ejpam-6073	101	1	1,∞	CARDINAL
ejpam-6073	101	2	ω	ORG
ejpam-6073	101	3	2 ≤ p1 ≤ p(x	QUANTITY
ejpam-6073	102	1	2 ≤	QUANTITY
ejpam-6073	104	1	|x−	ORG
ejpam-6073	105	1	9) •	CARDINAL
ejpam-6073	105	2	1	CARDINAL
ejpam-6073	105	3	3	CARDINAL
ejpam-6073	105	4	0	CARDINAL
ejpam-6073	105	5	3	CARDINAL
ejpam-6073	106	1	a. m. al-mahdi	PERSON
ejpam-6073	107	1	j. pure	PERSON
ejpam-6073	107	2	18	CARDINAL
ejpam-6073	107	3	3	CARDINAL
ejpam-6073	107	4	2025	CARDINAL
ejpam-6073	107	5	6073 6	CARDINAL
ejpam-6073	107	6	29	CARDINAL
ejpam-6073	107	7	1	CARDINAL
ejpam-6073	108	1	6	CARDINAL
ejpam-6073	108	2	1 2	CARDINAL
ejpam-6073	108	3	∫ ω	ORG
ejpam-6073	108	4	2	CARDINAL
ejpam-6073	108	5	2	CARDINAL
ejpam-6073	108	6	2	CARDINAL
ejpam-6073	108	7	2	CARDINAL
ejpam-6073	108	8	∫ ω |z|m(x	ORG
ejpam-6073	109	1	ℓ(x	PERSON
ejpam-6073	109	2	10	CARDINAL
ejpam-6073	110	1	∫ ω	ORG
ejpam-6073	111	1	11	CARDINAL
ejpam-6073	112	1	6	CARDINAL
ejpam-6073	112	2	ω	CARDINAL
ejpam-6073	112	3	0	CARDINAL
ejpam-6073	112	4	1	CARDINAL
ejpam-6073	112	5	∫ ω ztzttdx− a1 ∫ ω ztzxxdx− a2 ∫	ORG
ejpam-6073	114	1	∫ ω ututtdx− a3 ∫ ω utuxxdx− a2 ∫ ω	ORG
ejpam-6073	116	1	∫ ω zt|z|m(·)−2zdx+ d ∫ ω ut|u|ℓ(·)−2udx	ORG
ejpam-6073	117	1	12	CARDINAL
ejpam-6073	118	1	12	CARDINAL
ejpam-6073	118	2	∫ ω ztzttdx+	ORG
ejpam-6073	119	1	∫ ω zxzxtdx+ a2 ∫ ω zxtuxdx+ γ ∫ ω zt|zt|p(·)−2ztdx	ORG
ejpam-6073	119	2	∫ ω	ORG
ejpam-6073	119	3	a3 ∫ ω	ORG
ejpam-6073	119	4	∫ ω	ORG
ejpam-6073	121	1	∫ ω zt|z|m(·)−2zdx+ d ∫ ω ut|u|ℓ(·)−2udx	ORG
ejpam-6073	122	1	13	CARDINAL
ejpam-6073	122	2	∫ ω	ORG
ejpam-6073	123	1	2	CARDINAL
ejpam-6073	123	2	∫ ω z2	ORG
ejpam-6073	123	3	t dx	GPE
ejpam-6073	124	1	∫ ω	ORG
ejpam-6073	125	1	2	CARDINAL
ejpam-6073	125	2	∫ ω u2tdx	ORG
ejpam-6073	125	3	∫ ω	ORG
ejpam-6073	125	4	2 d	CARDINAL
ejpam-6073	125	5	∫ ω z2xdx	ORG
ejpam-6073	125	6	a3 ∫ ω	ORG
ejpam-6073	125	7	2	CARDINAL
ejpam-6073	125	8	∫ ω u2xdx	ORG
ejpam-6073	125	9	a2 ∫ ω (zxtux + uxtzx	ORG
ejpam-6073	126	1	∫ ω	ORG
ejpam-6073	126	2	∫ ω	ORG
ejpam-6073	128	1	∫ ω	ORG
ejpam-6073	128	2	ℓ(x	PERSON
ejpam-6073	129	1	14	CARDINAL
ejpam-6073	129	2	14	CARDINAL
ejpam-6073	129	3	13	CARDINAL
ejpam-6073	129	4	a. m. al-mahdi	PERSON
ejpam-6073	130	1	j. pure	PERSON
ejpam-6073	130	2	18	CARDINAL
ejpam-6073	130	3	3	CARDINAL
ejpam-6073	130	4	2025	CARDINAL
ejpam-6073	130	5	6073 7	DATE
ejpam-6073	130	6	∫ ω	ORG
ejpam-6073	130	7	2	CARDINAL
ejpam-6073	130	8	2	CARDINAL
ejpam-6073	130	9	2	CARDINAL
ejpam-6073	130	10	2	CARDINAL
ejpam-6073	131	1	∫ ω |z|m(x	ORG
ejpam-6073	133	1	ℓ(x	PERSON
ejpam-6073	135	1	∫ ω	ORG
ejpam-6073	139	1	∫ ω	ORG
ejpam-6073	139	2	10	CARDINAL
ejpam-6073	139	3	11	CARDINAL
ejpam-6073	140	1	2	CARDINAL
ejpam-6073	141	1	∈	ORG
ejpam-6073	141	2	||ux||q12 +	DATE
ejpam-6073	141	3	15	CARDINAL
ejpam-6073	143	1	33	CARDINAL
ejpam-6073	144	1	33	CARDINAL
ejpam-6073	145	1	m1	PRODUCT
ejpam-6073	145	2	16	CARDINAL
ejpam-6073	145	3	ϱ(u	PERSON
ejpam-6073	145	4	∫ ω |u|ℓ(x)dx	ORG
ejpam-6073	146	1	17	CARDINAL
ejpam-6073	146	2	3	CARDINAL
ejpam-6073	147	1	∫ ω |u|q(x)dx ≤ c	ORG
ejpam-6073	148	1	18	CARDINAL
ejpam-6073	149	1	33	CARDINAL
ejpam-6073	150	1	a. m. al-mahdi	PERSON
ejpam-6073	151	1	j. pure	PERSON
ejpam-6073	151	2	18	CARDINAL
ejpam-6073	151	3	3	CARDINAL
ejpam-6073	151	4	2025	CARDINAL
ejpam-6073	151	5	6073 8	DATE
ejpam-6073	152	1	first	ORDINAL
ejpam-6073	152	2	6	CARDINAL
ejpam-6073	152	3	∈	ORG
ejpam-6073	152	4	second	ORDINAL
ejpam-6073	152	5	∈	ORG
ejpam-6073	152	6	1	CARDINAL
ejpam-6073	153	1	0	CARDINAL
ejpam-6073	154	1	∈	ORG
ejpam-6073	154	2	∈	ORG
ejpam-6073	155	1	∩ lp(ω×	PERSON
ejpam-6073	155	2	0	CARDINAL
ejpam-6073	155	3	∩ lq(ω×	PERSON
ejpam-6073	155	4	6	CARDINAL
ejpam-6073	156	1	∫ ω ρzztϕ(x)dx+	ORG
ejpam-6073	156	2	∫ ω	ORG
ejpam-6073	156	3	∫ ω	ORG
ejpam-6073	156	4	∫ ω	ORG
ejpam-6073	156	5	a3 ∫ ω	ORG
ejpam-6073	157	1	a2 ∫ ω zxψx(x)dx +	ORG
ejpam-6073	157	2	∫ ω	ORG
ejpam-6073	158	1	∫ ω	ORG
ejpam-6073	159	1	19	CARDINAL
ejpam-6073	159	2	a.e. t ∈	ORG
ejpam-6073	160	1	0	CARDINAL
ejpam-6073	160	2	∈	ORG
ejpam-6073	162	1	∩	PERSON
ejpam-6073	163	1	6	CARDINAL
ejpam-6073	163	2	first	ORDINAL
ejpam-6073	164	1	a1zxx	DATE
ejpam-6073	164	2	ω×	ORG
ejpam-6073	164	3	0,∞	DATE
ejpam-6073	166	1	ω×	ORG
ejpam-6073	166	2	0,∞	DATE
ejpam-6073	169	1	0	CARDINAL
ejpam-6073	170	1	ω	GPE
ejpam-6073	170	2	∈	ORG
ejpam-6073	170	3	ω×	ORG
ejpam-6073	170	4	0	CARDINAL
ejpam-6073	170	5	0	CARDINAL
ejpam-6073	171	1	1	CARDINAL
ejpam-6073	171	2	0	CARDINAL
ejpam-6073	171	3	0	CARDINAL
ejpam-6073	173	1	two	CARDINAL
ejpam-6073	174	1	a1zxx	DATE
ejpam-6073	174	2	0	CARDINAL
ejpam-6073	174	3	ω×	ORG
ejpam-6073	174	4	0,∞	DATE
ejpam-6073	176	1	0	CARDINAL
ejpam-6073	176	2	ω×	ORG
ejpam-6073	176	3	0,∞	DATE
ejpam-6073	179	1	0	CARDINAL
ejpam-6073	180	1	ω	DATE
ejpam-6073	180	2	a. m. al-mahdi	PERSON
ejpam-6073	181	1	j. pure	PERSON
ejpam-6073	181	2	18	CARDINAL
ejpam-6073	181	3	3	CARDINAL
ejpam-6073	181	4	2025	CARDINAL
ejpam-6073	181	5	6073 9	DATE
ejpam-6073	181	6	29 multiplying	QUANTITY
ejpam-6073	181	7	first	ORDINAL
ejpam-6073	181	8	second	ORDINAL
ejpam-6073	182	1	2	CARDINAL
ejpam-6073	182	2	2	CARDINAL
ejpam-6073	182	3	2	CARDINAL
ejpam-6073	182	4	∫ ω	ORG
ejpam-6073	182	5	|z1t|p(x)−2	PRODUCT
ejpam-6073	182	6	∫ ω	ORG
ejpam-6073	182	7	u2t	PERSON
ejpam-6073	182	8	0	CARDINAL
ejpam-6073	183	1	20	CARDINAL
ejpam-6073	183	2	20	CARDINAL
ejpam-6073	183	3	0	CARDINAL
ejpam-6073	183	4	2	CARDINAL
ejpam-6073	184	1	2	CARDINAL
ejpam-6073	184	2	2	CARDINAL
ejpam-6073	185	1	∫ ω	ORG
ejpam-6073	185	2	|z1t|p(x)−2	PRODUCT
ejpam-6073	187	1	u2t	PERSON
ejpam-6073	187	2	0	CARDINAL
ejpam-6073	187	3	21	CARDINAL
ejpam-6073	188	1	2	CARDINAL
ejpam-6073	188	2	22	CARDINAL
ejpam-6073	188	3	∈ ω	ORG
ejpam-6073	188	4	∈	ORG
ejpam-6073	188	5	2	CARDINAL
ejpam-6073	188	6	2	CARDINAL
ejpam-6073	188	7	2	CARDINAL
ejpam-6073	189	1	∫ ω uxzxdx ≤ 0	ORG
ejpam-6073	190	1	23	CARDINAL
ejpam-6073	191	1	∥v1∥∥v2∥	NORP
ejpam-6073	191	2	∀v1	GPE
ejpam-6073	191	3	v2 ∈ l2(0	PERSON
ejpam-6073	191	4	1	CARDINAL
ejpam-6073	191	5	24	CARDINAL
ejpam-6073	192	1	∀a	ORG
ejpam-6073	192	2	∈	ORG
ejpam-6073	192	3	0	CARDINAL
ejpam-6073	192	4	25	CARDINAL
ejpam-6073	193	1	+ 2a2	DATE
ejpam-6073	194	1	1 2|a0|	CARDINAL
ejpam-6073	194	2	+ 4a22	CARDINAL
ejpam-6073	195	1	+ 2a2	DATE
ejpam-6073	195	2	26	CARDINAL
ejpam-6073	195	3	a. m. al-mahdi	PERSON
ejpam-6073	196	1	j. pure	PERSON
ejpam-6073	196	2	18	CARDINAL
ejpam-6073	196	3	3	CARDINAL
ejpam-6073	196	4	2025	CARDINAL
ejpam-6073	196	5	6073 10	DATE
ejpam-6073	197	1	1 2	CARDINAL
ejpam-6073	197	2	+ 4a22	CARDINAL
ejpam-6073	198	1	23	CARDINAL
ejpam-6073	198	2	26	CARDINAL
ejpam-6073	198	3	0	CARDINAL
ejpam-6073	200	1	0	CARDINAL
ejpam-6073	201	1	zt(x	GPE
ejpam-6073	203	1	0	CARDINAL
ejpam-6073	204	1	0	CARDINAL
ejpam-6073	204	2	a.e t ∈	ORG
ejpam-6073	204	3	0	CARDINAL
ejpam-6073	205	1	0	CARDINAL
ejpam-6073	205	2	ω×(0	ORG
ejpam-6073	205	3	0	CARDINAL
ejpam-6073	207	1	four	CARDINAL
ejpam-6073	207	2	1	CARDINAL
ejpam-6073	207	3	zk	GPE
ejpam-6073	207	4	uk	GPE
ejpam-6073	207	5	span{w1	PRODUCT
ejpam-6073	207	6	zk(x	ORG
ejpam-6073	209	1	aj(t)wj	NORP
ejpam-6073	210	1	∈ ω	ORG
ejpam-6073	210	2	0	CARDINAL
ejpam-6073	211	1	wjx⟩l2(ω	ORG
ejpam-6073	213	1	zkt	PERSON
ejpam-6073	213	2	j = 1	PERSON
ejpam-6073	213	3	2	DATE
ejpam-6073	214	1	+ a2⟨zkx	PERSON
ejpam-6073	216	1	j = 1	PERSON
ejpam-6073	216	2	2	DATE
ejpam-6073	218	1	u k t	PERSON
ejpam-6073	218	2	27	CARDINAL
ejpam-6073	219	1	i=1 ⟨z0	GPE
ejpam-6073	223	1	1	CARDINAL
ejpam-6073	223	2	i=1 ⟨u1	GPE
ejpam-6073	224	1	hilbert spaces	ORG
ejpam-6073	226	1	convergence, zk0 → z0	ORG
ejpam-6073	226	2	l 2(ω	DATE
ejpam-6073	227	1	28	CARDINAL
ejpam-6073	227	2	a. m. al-mahdi	PERSON
ejpam-6073	228	1	j. pure	PERSON
ejpam-6073	228	2	18	CARDINAL
ejpam-6073	228	3	3	CARDINAL
ejpam-6073	228	4	2025	CARDINAL
ejpam-6073	228	5	6073 11	DATE
ejpam-6073	228	6	29	CARDINAL
ejpam-6073	228	7	27	CARDINAL
ejpam-6073	228	8	zk	GPE
ejpam-6073	228	9	uk	GPE
ejpam-6073	228	10	2	CARDINAL
ejpam-6073	229	1	first	ORDINAL
ejpam-6073	229	2	second	ORDINAL
ejpam-6073	229	3	b′j(t	GPE
ejpam-6073	229	4	27	CARDINAL
ejpam-6073	229	5	j = 1	WORK_OF_ART
ejpam-6073	229	6	2	DATE
ejpam-6073	230	1	two	CARDINAL
ejpam-6073	230	2	ρz∥zkt	CARDINAL
ejpam-6073	230	3	+ 2a2	DATE
ejpam-6073	230	4	∫ ω	ORG
ejpam-6073	230	5	k xdx	ORG
ejpam-6073	231	1	∫ ω |zkt	ORG
ejpam-6073	232	1	∫ ω	ORG
ejpam-6073	232	2	∫ ω	ORG
ejpam-6073	232	3	f(x	PRODUCT
ejpam-6073	235	1	29	CARDINAL
ejpam-6073	235	2	29	CARDINAL
ejpam-6073	235	3	0	CARDINAL
ejpam-6073	235	4	1 2	CARDINAL
ejpam-6073	235	5	2 2	DATE
ejpam-6073	235	6	∫ ω ukxz	ORG
ejpam-6073	235	7	k xdx	GPE
ejpam-6073	236	1	γ ∫	ORG
ejpam-6073	237	1	0 ∫ ω |ukt	ORG
ejpam-6073	238	1	1 2	CARDINAL
ejpam-6073	238	2	2 2 +	CARDINAL
ejpam-6073	244	1	f(x	PRODUCT
ejpam-6073	244	2	30	CARDINAL
ejpam-6073	244	3	26	CARDINAL
ejpam-6073	244	4	two	CARDINAL
ejpam-6073	244	5	30	CARDINAL
ejpam-6073	244	6	0	CARDINAL
ejpam-6073	244	7	1 2	CARDINAL
ejpam-6073	244	8	2 + c̃	DATE
ejpam-6073	246	1	0 ∫ ω |ukt	ORG
ejpam-6073	247	1	≤ 1 2	MONEY
ejpam-6073	247	2	2 2 +	CARDINAL
ejpam-6073	248	1	2 2	DATE
ejpam-6073	249	1	ε ∫ tk 0	ORG
ejpam-6073	250	1	2	CARDINAL
ejpam-6073	253	1	31	CARDINAL
ejpam-6073	253	2	22	CARDINAL
ejpam-6073	253	3	∈	ORG
ejpam-6073	253	4	0	CARDINAL
ejpam-6073	253	5	zk1 −→ z1 and	PERSON
ejpam-6073	253	6	appling gronwall’s	GPE
ejpam-6073	253	7	lemma	ORG
ejpam-6073	253	8	31	CARDINAL
ejpam-6073	253	9	0	CARDINAL
ejpam-6073	253	10	0,tk	CARDINAL
ejpam-6073	253	11	||zkt	CARDINAL
ejpam-6073	253	12	2 2 +	DATE
ejpam-6073	253	13	a. m. al-mahdi	PERSON
ejpam-6073	254	1	j. pure	PERSON
ejpam-6073	254	2	18	CARDINAL
ejpam-6073	254	3	3	CARDINAL
ejpam-6073	254	4	2025	CARDINAL
ejpam-6073	254	5	6073 12	DATE
ejpam-6073	255	1	∣∣∣ukt	PRODUCT
ejpam-6073	257	1	sup	DATE
ejpam-6073	257	2	0,tk	CARDINAL
ejpam-6073	257	3	2	CARDINAL
ejpam-6073	257	4	1	CARDINAL
ejpam-6073	257	5	1 4	DATE
ejpam-6073	257	6	0,tk	CARDINAL
ejpam-6073	257	7	||zkt	CARDINAL
ejpam-6073	257	8	2 2 +	DATE
ejpam-6073	257	9	zk	GPE
ejpam-6073	257	10	uk	GPE
ejpam-6073	257	11	27	CARDINAL
ejpam-6073	257	12	0	CARDINAL
ejpam-6073	258	1	uk	GPE
ejpam-6073	258	2	l∞((0	GPE
ejpam-6073	258	3	zkt	PERSON
ejpam-6073	258	4	l∞((0	GPE
ejpam-6073	258	5	∩ lp(.)(ω×	PERSON
ejpam-6073	258	6	0	CARDINAL
ejpam-6073	258	7	l∞((0	GPE
ejpam-6073	258	8	0	CARDINAL
ejpam-6073	259	1	two	CARDINAL
ejpam-6073	259	2	uk	GPE
ejpam-6073	259	3	l∞((0	GPE
ejpam-6073	259	4	zkt	PERSON
ejpam-6073	259	5	l∞((0	GPE
ejpam-6073	259	6	0	CARDINAL
ejpam-6073	259	7	l∞((0	GPE
ejpam-6073	259	8	lq(.)(ω×	DATE
ejpam-6073	259	9	0	CARDINAL
ejpam-6073	260	1	3	CARDINAL
ejpam-6073	261	1	ω×	ORG
ejpam-6073	261	2	0	CARDINAL
ejpam-6073	262	1	ω×	ORG
ejpam-6073	262	2	0	CARDINAL
ejpam-6073	262	3	ω×	ORG
ejpam-6073	262	4	0	CARDINAL
ejpam-6073	263	1	zkt	PERSON
ejpam-6073	263	2	0	CARDINAL
ejpam-6073	263	3	zkt	PERSON
ejpam-6073	263	4	l p	ORG
ejpam-6073	263	5	ω ×	ORG
ejpam-6073	263	6	0	CARDINAL
ejpam-6073	264	1	zkt⇀χ1	PERSON
ejpam-6073	265	1	ω×	ORG
ejpam-6073	265	2	0	CARDINAL
ejpam-6073	266	1	32	CARDINAL
ejpam-6073	267	1	ω×	ORG
ejpam-6073	267	2	0	CARDINAL
ejpam-6073	268	1	33	CARDINAL
ejpam-6073	268	2	a. m. al-mahdi	PERSON
ejpam-6073	269	1	j. pure	PERSON
ejpam-6073	269	2	18	CARDINAL
ejpam-6073	269	3	3	CARDINAL
ejpam-6073	269	4	2025	CARDINAL
ejpam-6073	269	5	6073 13	DATE
ejpam-6073	269	6	29	CARDINAL
ejpam-6073	269	7	34	CARDINAL
ejpam-6073	270	1	27	CARDINAL
ejpam-6073	270	2	0	CARDINAL
ejpam-6073	270	3	k,∫ ω zkt	ORG
ejpam-6073	271	1	ω	CARDINAL
ejpam-6073	271	2	∫ ω	ORG
ejpam-6073	271	3	zkt wj(x)dxds	PERSON
ejpam-6073	272	1	∫ ω wjf(x	ORG
ejpam-6073	272	2	t)dxds,∫ ω uktwj(x)dx− ∫ ω	ORG
ejpam-6073	273	1	∫ ω zkxwjx(x)dx +	ORG
ejpam-6073	274	1	∫ ω	ORG
ejpam-6073	275	1	∫ ω ztwj(x)dx− ∫ ω z1wj(x)dx+	ORG
ejpam-6073	276	1	∫ ω uxwjx(x)dxds + γ	ORG
ejpam-6073	276	2	∫ ω |zt|p(.)−2ztwj(x)dxds	ORG
ejpam-6073	277	1	∫ ω wjf(x	ORG
ejpam-6073	278	1	∫ ω uxwjx(x)dxds+ a2 ∫	ORG
ejpam-6073	278	2	|ut|q(.)−2utwj(x)dxds	CARDINAL
ejpam-6073	278	3	∫ ω	ORG
ejpam-6073	279	1	0	CARDINAL
ejpam-6073	283	1	∫ ω	ORG
ejpam-6073	283	2	ω utw(x)dx− ∫ ω	ORG
ejpam-6073	286	1	∫ ω zxwx(x)dxds +	ORG
ejpam-6073	286	2	∫ ω	ORG
ejpam-6073	286	3	∫ ω wg(x	ORG
ejpam-6073	286	4	t)dxds	ORG
ejpam-6073	287	1	a.e. t ∈	ORG
ejpam-6073	288	1	0	CARDINAL
ejpam-6073	288	2	a. m.	PERSON
ejpam-6073	290	1	j. pure	PERSON
ejpam-6073	290	2	18	CARDINAL
ejpam-6073	290	3	3	CARDINAL
ejpam-6073	290	4	2025	CARDINAL
ejpam-6073	290	5	6073 14	DATE
ejpam-6073	290	6	29	CARDINAL
ejpam-6073	290	7	0	CARDINAL
ejpam-6073	290	8	∫ ω uxwx(x)dx+ γ ∫ ω	ORG
ejpam-6073	290	9	∫ ω	ORG
ejpam-6073	290	10	t)dx,∫ ω	ORG
ejpam-6073	290	11	a3 ∫ ω uxwx(x)dx+ a2 ∫	ORG
ejpam-6073	291	1	∫ ω	ORG
ejpam-6073	291	2	∫ ω wg(x	ORG
ejpam-6073	292	1	a1zxx	DATE
ejpam-6073	292	2	0	CARDINAL
ejpam-6073	294	1	0	CARDINAL
ejpam-6073	295	1	two	CARDINAL
ejpam-6073	295	2	ω×	ORG
ejpam-6073	295	3	0	CARDINAL
ejpam-6073	296	1	4	CARDINAL
ejpam-6073	297	1	34	CARDINAL
ejpam-6073	299	1	1	CARDINAL
ejpam-6073	300	1	first	ORDINAL
ejpam-6073	301	1	|a|k−1 + |b|k−1	DATE
ejpam-6073	301	2	34	CARDINAL
ejpam-6073	301	3	0	CARDINAL
ejpam-6073	301	4	∈	ORG
ejpam-6073	301	5	∣∣∣ ≤	MONEY
ejpam-6073	301	6	35	CARDINAL
ejpam-6073	301	7	0	CARDINAL
ejpam-6073	301	8	k0	ORG
ejpam-6073	301	9	r.	NORP
ejpam-6073	301	10	1	CARDINAL
ejpam-6073	301	11	∈ ω	ORG
ejpam-6073	301	12	m(x	NORP
ejpam-6073	301	13	ℓ(x	PERSON
ejpam-6073	302	1	|h′1(s)| = |c||m(x	PERSON
ejpam-6073	302	2	1||s|m(x)−2	CARDINAL
ejpam-6073	302	3	1||s|ℓ(x)−2	CARDINAL
ejpam-6073	303	1	2	CARDINAL
ejpam-6073	306	1	0	CARDINAL
ejpam-6073	306	2	1	CARDINAL
ejpam-6073	306	3	0	CARDINAL
ejpam-6073	308	1	0	CARDINAL
ejpam-6073	309	1	15	CARDINAL
ejpam-6073	309	2	∫ ω |v1|2(m2−1)dx+ ∫ ω |v1|2(m1−1)dx	ORG
ejpam-6073	310	1	∫ ω |v2|2(ℓ2−1)dx+ ∫ ω |v2|2(ℓ1−1)dx	ORG
ejpam-6073	311	1	36	CARDINAL
ejpam-6073	311	2	a. m. al-mahdi	PERSON
ejpam-6073	312	1	j. pure	PERSON
ejpam-6073	312	2	18	CARDINAL
ejpam-6073	312	3	3	CARDINAL
ejpam-6073	312	4	2025	CARDINAL
ejpam-6073	312	5	6073 15	DATE
ejpam-6073	312	6	29	CARDINAL
ejpam-6073	312	7	∈	ORG
ejpam-6073	313	1	0	CARDINAL
ejpam-6073	314	1	v2 ∈	GPE
ejpam-6073	314	2	∈	ORG
ejpam-6073	315	1	∩ lp(ω×	PERSON
ejpam-6073	315	2	0	CARDINAL
ejpam-6073	315	3	∩ lq(ω×	PERSON
ejpam-6073	316	1	nonlinear problem ρzztt	ORG
ejpam-6073	316	2	− a1zxx − a2uxx + γ |zt|p(x)−2	ORG
ejpam-6073	316	3	ω×	ORG
ejpam-6073	316	4	0	CARDINAL
ejpam-6073	319	1	ω×	ORG
ejpam-6073	319	2	0	CARDINAL
ejpam-6073	319	3	0	CARDINAL
ejpam-6073	320	1	0	CARDINAL
ejpam-6073	320	2	ω	LOC
ejpam-6073	320	3	0	CARDINAL
ejpam-6073	320	4	ω	DATE
ejpam-6073	321	1	w ∈	PERSON
ejpam-6073	321	2	0	CARDINAL
ejpam-6073	322	1	ω))/wt	CARDINAL
ejpam-6073	322	2	∈	PRODUCT
ejpam-6073	322	3	k(v1	GPE
ejpam-6073	324	1	0,t	CARDINAL
ejpam-6073	325	1	0,t	CARDINAL
ejpam-6073	326	1	1	CARDINAL
ejpam-6073	328	1	1	CARDINAL
ejpam-6073	329	1	first	ORDINAL
ejpam-6073	329	2	second	ORDINAL
ejpam-6073	329	3	two	CARDINAL
ejpam-6073	329	4	ω×	ORG
ejpam-6073	329	5	0	CARDINAL
ejpam-6073	329	6	2	CARDINAL
ejpam-6073	329	7	2	CARDINAL
ejpam-6073	330	1	2	CARDINAL
ejpam-6073	331	1	2	CARDINAL
ejpam-6073	332	1	∫ ω u0xz0xdx+ γ ∫	ORG
ejpam-6073	333	1	∫ ω	ORG
ejpam-6073	337	1	37	CARDINAL
ejpam-6073	337	2	1	CARDINAL
ejpam-6073	337	3	2	CARDINAL
ejpam-6073	337	4	15	CARDINAL
ejpam-6073	337	5	4	CARDINAL
ejpam-6073	337	6	∫ ω z2	ORG
ejpam-6073	337	7	ε ∫ ω |v1|2(m(x)−1)dx ≤ ερz	ORG
ejpam-6073	337	8	4	CARDINAL
ejpam-6073	337	9	∫ ω z2	ORG
ejpam-6073	337	10	2 +	DATE
ejpam-6073	337	11	2	CARDINAL
ejpam-6073	338	1	38	CARDINAL
ejpam-6073	338	2	a. m. al-mahdi	PERSON
ejpam-6073	339	1	j. pure	PERSON
ejpam-6073	339	2	18	CARDINAL
ejpam-6073	339	3	3	CARDINAL
ejpam-6073	339	4	2025	CARDINAL
ejpam-6073	339	5	6073 16	CARDINAL
ejpam-6073	339	6	29	CARDINAL
ejpam-6073	339	7	ερu 4 ∫ ω	ORG
ejpam-6073	340	1	ε ∫ ω |v2|2(ℓ(x)−1)dx ≤ ερu 4 ∫ ω u2tdx+ ce ε	ORG
ejpam-6073	340	2	2	CARDINAL
ejpam-6073	341	1	39	CARDINAL
ejpam-6073	341	2	37	CARDINAL
ejpam-6073	341	3	2	CARDINAL
ejpam-6073	342	1	2	CARDINAL
ejpam-6073	342	2	∫ ω uxzxdx ≤	ORG
ejpam-6073	342	3	4	CARDINAL
ejpam-6073	342	4	0,t	CARDINAL
ejpam-6073	343	1	t	GPE
ejpam-6073	343	2	0,t	CARDINAL
ejpam-6073	344	1	2 + ||v2x||2ℓ2−2 2 +	MONEY
ejpam-6073	344	2	2	CARDINAL
ejpam-6073	344	3	26	CARDINAL
ejpam-6073	344	4	2 ∥u1∥22	DATE
ejpam-6073	345	1	2	CARDINAL
ejpam-6073	347	1	2	CARDINAL
ejpam-6073	347	2	∫ ω u0xz0xdx	ORG
ejpam-6073	347	3	0	CARDINAL
ejpam-6073	348	1	1	CARDINAL
ejpam-6073	351	1	max	PERSON
ejpam-6073	351	2	||v1||wt	PERSON
ejpam-6073	352	1	0	CARDINAL
ejpam-6073	353	1	m̃ = max{m2(m2−1),m2(ℓ2−1	PERSON
ejpam-6073	355	1	k	PERSON
ejpam-6073	356	1	= k(v1	PERSON
ejpam-6073	356	2	− v2	PERSON
ejpam-6073	358	1	− a1zxx − a2uxx + γ	ORG
ejpam-6073	361	1	|ṽ2t|q(·)−2ṽ2	GPE
ejpam-6073	363	1	u(x	ORG
ejpam-6073	363	2	0	CARDINAL
ejpam-6073	363	3	z(x	ORG
ejpam-6073	363	4	zt(x	GPE
ejpam-6073	363	5	0	CARDINAL
ejpam-6073	366	1	0	CARDINAL
ejpam-6073	367	1	40	CARDINAL
ejpam-6073	367	2	a. m. al-mahdi	PERSON
ejpam-6073	368	1	j. pure	PERSON
ejpam-6073	368	2	18	CARDINAL
ejpam-6073	368	3	3	CARDINAL
ejpam-6073	368	4	2025	CARDINAL
ejpam-6073	368	5	6073 17	DATE
ejpam-6073	368	6	29	CARDINAL
ejpam-6073	368	7	first	ORDINAL
ejpam-6073	368	8	second	ORDINAL
ejpam-6073	368	9	ω ×	ORG
ejpam-6073	368	10	0	CARDINAL
ejpam-6073	368	11	two	CARDINAL
ejpam-6073	368	12	2	CARDINAL
ejpam-6073	369	1	2	CARDINAL
ejpam-6073	370	1	∫ ω	ORG
ejpam-6073	371	1	|ṽ2t|q(·)−2ṽ2	GPE
ejpam-6073	380	1	2	CARDINAL
ejpam-6073	381	1	2	CARDINAL
ejpam-6073	382	1	∫ ω uxzxdx	ORG
ejpam-6073	385	1	41	CARDINAL
ejpam-6073	385	2	∫ ω |h1(v1)− h1(v2)||zt|	ORG
ejpam-6073	385	3	i2 = ∫ ω |h2(ṽ1)− h2(ṽ2)||ut|	ORG
ejpam-6073	386	1	i1 = ∫ ω |h1(v1	ORG
ejpam-6073	386	2	− v2	PERSON
ejpam-6073	386	3	αv1	CARDINAL
ejpam-6073	386	4	1−	TIME
ejpam-6073	386	5	0 ≤	MONEY
ejpam-6073	387	1	∫ ω z2	ORG
ejpam-6073	387	2	2	CARDINAL
ejpam-6073	387	3	δ ∫ ω	ORG
ejpam-6073	387	4	∫ ω	ORG
ejpam-6073	387	5	δ ∫ ω	ORG
ejpam-6073	388	1	1− α)v2|2(m(x)−2)|v|2dx ≤ δ 2 ∫ ω	PRODUCT
ejpam-6073	388	2	t dx	ORG
ejpam-6073	389	1	∫ ω	ORG
ejpam-6073	389	2	2n	CARDINAL
ejpam-6073	390	1	∫ ω |αv1 +	ORG
ejpam-6073	390	2	1− α)v2|n(m2−2	TIME
ejpam-6073	390	3	2	CARDINAL
ejpam-6073	390	4	∫ ω |αv1 +	ORG
ejpam-6073	390	5	1− α)v2|n(m1−2	DATE
ejpam-6073	390	6	2 n	QUANTITY
ejpam-6073	391	1	lemma	ORG
ejpam-6073	391	2	15	CARDINAL
ejpam-6073	391	3	i1 ≤	ORG
ejpam-6073	392	1	∫ ω z2	ORG
ejpam-6073	392	2	2(m2−2	CARDINAL
ejpam-6073	392	3	2 + ∥v1x∥	DATE
ejpam-6073	392	4	2(m1−2	CARDINAL
ejpam-6073	392	5	2 + ∥v2x∥	CARDINAL
ejpam-6073	392	6	2(m2−2	CARDINAL
ejpam-6073	392	7	2	CARDINAL
ejpam-6073	393	1	2(m1−2	CARDINAL
ejpam-6073	393	2	2	CARDINAL
ejpam-6073	393	3	∫ ω	ORG
ejpam-6073	393	4	t dx+ cδcem̃∥vx∥22	DATE
ejpam-6073	394	1	∫ ω	ORG
ejpam-6073	394	2	ṽ	ORG
ejpam-6073	394	3	41	CARDINAL
ejpam-6073	394	4	2	CARDINAL
ejpam-6073	394	5	+ 4cδm̃t0c∥(v	DATE
ejpam-6073	395	1	a. m. al-mahdi	PERSON
ejpam-6073	396	1	j. pure	PERSON
ejpam-6073	396	2	18	CARDINAL
ejpam-6073	396	3	3	CARDINAL
ejpam-6073	396	4	2025	CARDINAL
ejpam-6073	396	5	6073 18	DATE
ejpam-6073	396	6	29	CARDINAL
ejpam-6073	398	1	k	PERSON
ejpam-6073	399	1	k(z	GPE
ejpam-6073	401	1	6	CARDINAL
ejpam-6073	403	1	5	CARDINAL
ejpam-6073	403	2	6	CARDINAL
ejpam-6073	403	3	1	CARDINAL
ejpam-6073	403	4	6	CARDINAL
ejpam-6073	405	1	25	CARDINAL
ejpam-6073	407	1	+ 2c	CARDINAL
ejpam-6073	407	2	∫ ω |z|m(x	ORG
ejpam-6073	407	3	2d	DATE
ejpam-6073	407	4	∫ ω |u|ℓ(x	LAW
ejpam-6073	408	1	ℓ(x	PERSON
ejpam-6073	409	1	1 2	CARDINAL
ejpam-6073	409	2	∫ ω	ORG
ejpam-6073	409	3	2	CARDINAL
ejpam-6073	409	4	2	CARDINAL
ejpam-6073	409	5	2	CARDINAL
ejpam-6073	409	6	2	CARDINAL
ejpam-6073	410	1	∫ ω |z|m(x	ORG
ejpam-6073	411	1	ℓ(x	PERSON
ejpam-6073	412	1	42	CARDINAL
ejpam-6073	413	1	∫ ω	ORG
ejpam-6073	413	2	∫ ω	ORG
ejpam-6073	413	3	2c	CARDINAL
ejpam-6073	414	1	2d	DATE
ejpam-6073	414	2	∫ ω	ORG
ejpam-6073	415	1	0	CARDINAL
ejpam-6073	416	1	∫ ω	ORG
ejpam-6073	418	1	∫ ω |zt|m(.)dx+ δ ∫ ω	ORG
ejpam-6073	418	2	44	CARDINAL
ejpam-6073	418	3	ω	CARDINAL
ejpam-6073	419	1	45	CARDINAL
ejpam-6073	419	2	∫ ω	ORG
ejpam-6073	419	3	∫ ω	ORG
ejpam-6073	419	4	cε ∫ ω |zt|p(·)dx+	ORG
ejpam-6073	419	5	∫ ω |ut|q(·)dx	ORG
ejpam-6073	419	6	46	CARDINAL
ejpam-6073	419	7	a. m. al-mahdi	PERSON
ejpam-6073	420	1	j. pure	PERSON
ejpam-6073	420	2	18	CARDINAL
ejpam-6073	420	3	3	CARDINAL
ejpam-6073	420	4	2025	CARDINAL
ejpam-6073	420	5	6073 19	DATE
ejpam-6073	420	6	∫ ω cε(x)|z|m(·)dx+ ∫	ORG
ejpam-6073	421	1	47	CARDINAL
ejpam-6073	421	2	γ −	ORG
ejpam-6073	421	3	0	CARDINAL
ejpam-6073	421	4	0	CARDINAL
ejpam-6073	422	1	m2 ∫ ω |z|m(x	ORG
ejpam-6073	422	2	ℓ(x	PERSON
ejpam-6073	423	1	48	CARDINAL
ejpam-6073	424	1	49	DATE
ejpam-6073	425	1	6	CARDINAL
ejpam-6073	425	2	6	CARDINAL
ejpam-6073	426	1	3	CARDINAL
ejpam-6073	428	1	6	CARDINAL
ejpam-6073	432	1	0	CARDINAL
ejpam-6073	432	2	m1 ∫ ω |z|m(x)dx+ d ℓ1 ∫ ω |u|ℓ(x)dx	ORG
ejpam-6073	433	1	50	CARDINAL
ejpam-6073	434	1	ε ∫ ω	ORG
ejpam-6073	434	2	51	CARDINAL
ejpam-6073	436	1	6	CARDINAL
ejpam-6073	437	1	1− α)h−α(t)h ′(t	PRODUCT
ejpam-6073	438	1	ε ∫ ω	ORG
ejpam-6073	438	2	2	CARDINAL
ejpam-6073	438	3	ε ∫ ω	ORG
ejpam-6073	438	4	2	CARDINAL
ejpam-6073	441	1	∫ ω	ORG
ejpam-6073	442	1	∫ ω	ORG
ejpam-6073	443	1	∫ ω	ORG
ejpam-6073	444	1	∫ ω	ORG
ejpam-6073	445	1	52	CARDINAL
ejpam-6073	445	2	0	CARDINAL
ejpam-6073	445	3	1	CARDINAL
ejpam-6073	445	4	52	CARDINAL
ejpam-6073	446	1	1− α)h−α(t)h ′(t	PRODUCT
ejpam-6073	447	1	θ)m1ℓ1h(t	GPE
ejpam-6073	447	2	a. m. al-mahdi	PERSON
ejpam-6073	448	1	j. pure	PERSON
ejpam-6073	448	2	18	CARDINAL
ejpam-6073	448	3	3	CARDINAL
ejpam-6073	448	4	2025	CARDINAL
ejpam-6073	448	5	6073 20	DATE
ejpam-6073	449	1	1−	CARDINAL
ejpam-6073	449	2	∫ ω z2	ORG
ejpam-6073	449	3	1−	CARDINAL
ejpam-6073	450	1	1− θ)m1ℓ1 2	MONEY
ejpam-6073	450	2	1	CARDINAL
ejpam-6073	451	1	εa1	PRODUCT
ejpam-6073	451	2	1− θ)m1ℓ1 2	MONEY
ejpam-6073	451	3	1	CARDINAL
ejpam-6073	452	1	1− θ)m1ℓ1 2	MONEY
ejpam-6073	452	2	1	CARDINAL
ejpam-6073	452	3	∫ ω	ORG
ejpam-6073	453	1	εcℓ1 ∫ ω	ORG
ejpam-6073	453	2	∫ ω	ORG
ejpam-6073	455	1	∫ ω	ORG
ejpam-6073	456	1	53	CARDINAL
ejpam-6073	456	2	η f ′(t	PERSON
ejpam-6073	457	1	∫ ω |z|m(·)dx+ ∫ ω 1|u|ℓ(·)dx ]	ORG
ejpam-6073	459	1	∫ ω u|ut|q(·)−2utdx	ORG
ejpam-6073	459	2	54	CARDINAL
ejpam-6073	459	3	54	CARDINAL
ejpam-6073	459	4	0	CARDINAL
ejpam-6073	459	5	∫ ω	ORG
ejpam-6073	460	1	1 |z|p(x)dx+	CARDINAL
ejpam-6073	460	2	1	CARDINAL
ejpam-6073	461	1	σ −p(x	PERSON
ejpam-6073	461	2	1 |zt|p(x)dx,∫	CARDINAL
ejpam-6073	461	3	∫ ω σ q(x	ORG
ejpam-6073	461	4	2 |u|q(x)dx+	PERCENT
ejpam-6073	461	5	1	CARDINAL
ejpam-6073	461	6	q2 ∫ ω σ −q(x	ORG
ejpam-6073	461	7	2	CARDINAL
ejpam-6073	462	1	55	CARDINAL
ejpam-6073	462	2	σ −p(x	PERSON
ejpam-6073	462	3	1	CARDINAL
ejpam-6073	462	4	σ −p(x	PERSON
ejpam-6073	462	5	2	CARDINAL
ejpam-6073	462	6	56	CARDINAL
ejpam-6073	462	7	1	CARDINAL
ejpam-6073	462	8	2	DATE
ejpam-6073	462	9	55	CARDINAL
ejpam-6073	463	1	∫ ω |z||zt|p(·)−1dx+ ∫ ω |u||ut|q(·)−1dx	ORG
ejpam-6073	464	1	1−p(x	CARDINAL
ejpam-6073	464	2	1	CARDINAL
ejpam-6073	464	3	1	CARDINAL
ejpam-6073	466	1	1−q(x	CARDINAL
ejpam-6073	466	2	2	CARDINAL
ejpam-6073	466	3	1	CARDINAL
ejpam-6073	467	1	57	CARDINAL
ejpam-6073	467	2	54	CARDINAL
ejpam-6073	467	3	57	CARDINAL
ejpam-6073	467	4	1−	ORDINAL
ejpam-6073	467	5	1	CARDINAL
ejpam-6073	468	1	1	CARDINAL
ejpam-6073	468	2	h−α(t)h	PERSON
ejpam-6073	468	3	a. m. al-mahdi	PERSON
ejpam-6073	469	1	j. pure	PERSON
ejpam-6073	469	2	18	CARDINAL
ejpam-6073	469	3	3	CARDINAL
ejpam-6073	469	4	2025	CARDINAL
ejpam-6073	469	5	6073 21	DATE
ejpam-6073	471	1	∫ ω |z|m(·)dx+ ∫ ω	ORG
ejpam-6073	471	2	1−p1 1	CARDINAL
ejpam-6073	473	1	16	CARDINAL
ejpam-6073	473	2	17	CARDINAL
ejpam-6073	474	1	18	CARDINAL
ejpam-6073	474	2	∫ ω |z|p(x)dx+hα(q2(x)−1)(t	ORG
ejpam-6073	474	3	∫ ω |u|q(x)dx ≤	ORG
ejpam-6073	475	1	∫ ω |z|p(x)dx+ ∫ ω |u|q(x)dx	ORG
ejpam-6073	477	1	58	CARDINAL
ejpam-6073	477	2	1−	ORDINAL
ejpam-6073	477	3	1	CARDINAL
ejpam-6073	478	1	1	CARDINAL
ejpam-6073	478	2	h−α(t)h	PERSON
ejpam-6073	479	1	59	CARDINAL
ejpam-6073	479	2	1−p1	CARDINAL
ejpam-6073	480	1	0	CARDINAL
ejpam-6073	481	1	1− α)− ε	TIME
ejpam-6073	482	1	1	CARDINAL
ejpam-6073	483	1	1	CARDINAL
ejpam-6073	483	2	0	CARDINAL
ejpam-6073	484	1	ε ∫ ω	ORG
ejpam-6073	484	2	0	CARDINAL
ejpam-6073	484	3	17	CARDINAL
ejpam-6073	484	4	16	CARDINAL
ejpam-6073	485	1	60	CARDINAL
ejpam-6073	488	1	0	CARDINAL
ejpam-6073	489	1	60	CARDINAL
ejpam-6073	489	2	0	CARDINAL
ejpam-6073	489	3	0	CARDINAL
ejpam-6073	490	1	61	CARDINAL
ejpam-6073	490	2	a. m. al-mahdi	PERSON
ejpam-6073	491	1	j. pure	PERSON
ejpam-6073	491	2	18	CARDINAL
ejpam-6073	491	3	3	CARDINAL
ejpam-6073	491	4	2025	CARDINAL
ejpam-6073	491	5	6073 22	DATE
ejpam-6073	491	6	29	CARDINAL
ejpam-6073	491	7	51	CARDINAL
ejpam-6073	491	8	60	CARDINAL
ejpam-6073	491	9	1 1−α	CARDINAL
ejpam-6073	491	10	0	CARDINAL
ejpam-6073	492	1	62	CARDINAL
ejpam-6073	492	2	62	CARDINAL
ejpam-6073	492	3	1−α	CARDINAL
ejpam-6073	492	4	1	CARDINAL
ejpam-6073	492	5	1−α	CARDINAL
ejpam-6073	493	1	1−α	CARDINAL
ejpam-6073	493	2	63	CARDINAL
ejpam-6073	493	3	0	CARDINAL
ejpam-6073	494	1	63	CARDINAL
ejpam-6073	494	2	1−	TIME
ejpam-6073	495	1	1−α	CARDINAL
ejpam-6073	496	1	64	CARDINAL
ejpam-6073	497	1	2	CARDINAL
ejpam-6073	501	1	7	CARDINAL
ejpam-6073	501	2	6.1	CARDINAL
ejpam-6073	502	1	four	CARDINAL
ejpam-6073	502	2	one	CARDINAL
ejpam-6073	503	1	1.6	CARDINAL
ejpam-6073	503	2	second	ORDINAL
ejpam-6073	505	1	12	CARDINAL
ejpam-6073	505	2	35	CARDINAL
ejpam-6073	506	1	four	CARDINAL
ejpam-6073	507	1	1	CARDINAL
ejpam-6073	507	2	0.95	CARDINAL
ejpam-6073	508	1	0	CARDINAL
ejpam-6073	508	2	1]2	CARDINAL
ejpam-6073	509	1	0	CARDINAL
ejpam-6073	509	2	1	CARDINAL
ejpam-6073	509	3	•	CARDINAL
ejpam-6073	509	4	1	CARDINAL
ejpam-6073	509	5	first	ORDINAL
ejpam-6073	509	6	p(x	PERSON
ejpam-6073	510	1	1 + 1	CARDINAL
ejpam-6073	510	2	ℓ(x	PERSON
ejpam-6073	510	3	2 + 2	CARDINAL
ejpam-6073	511	1	a. m. al-mahdi	PERSON
ejpam-6073	512	1	j. pure	PERSON
ejpam-6073	512	2	18	CARDINAL
ejpam-6073	512	3	3	CARDINAL
ejpam-6073	512	4	2025	CARDINAL
ejpam-6073	512	5	6073 23	DATE
ejpam-6073	512	6	29 •	CARDINAL
ejpam-6073	512	7	2	CARDINAL
ejpam-6073	512	8	second	ORDINAL
ejpam-6073	512	9	first	ORDINAL
ejpam-6073	512	10	p(x	PERSON
ejpam-6073	513	1	1 + 1	CARDINAL
ejpam-6073	513	2	ℓ(x	PERSON
ejpam-6073	513	3	2 + 2	CARDINAL
ejpam-6073	514	1	•	CARDINAL
ejpam-6073	514	2	3	CARDINAL
ejpam-6073	514	3	third	ORDINAL
ejpam-6073	514	4	p(x	PERSON
ejpam-6073	514	5	ℓ(x	PERSON
ejpam-6073	515	1	1 + 1	CARDINAL
ejpam-6073	515	2	2 + 2	CARDINAL
ejpam-6073	516	1	•	CARDINAL
ejpam-6073	516	2	4	CARDINAL
ejpam-6073	516	3	fourth	ORDINAL
ejpam-6073	516	4	p(x	PERSON
ejpam-6073	516	5	ℓ(x	PERSON
ejpam-6073	517	1	1 + 1	CARDINAL
ejpam-6073	518	1	65	CARDINAL
ejpam-6073	519	1	66	CARDINAL
ejpam-6073	519	2	1.6	CARDINAL
ejpam-6073	520	1	65	CARDINAL
ejpam-6073	521	1	∆x	CARDINAL
ejpam-6073	521	2	10−2	CARDINAL
ejpam-6073	522	1	two	CARDINAL
ejpam-6073	522	2	3	CARDINAL
ejpam-6073	522	3	0	CARDINAL
ejpam-6073	522	4	0.25	CARDINAL
ejpam-6073	522	5	0.75	CARDINAL
ejpam-6073	523	1	3	CARDINAL
ejpam-6073	523	2	four	CARDINAL
ejpam-6073	524	1	a. m. al-mahdi	PERSON
ejpam-6073	525	1	j. pure	PERSON
ejpam-6073	525	2	18	CARDINAL
ejpam-6073	525	3	3	CARDINAL
ejpam-6073	525	4	2025	CARDINAL
ejpam-6073	525	5	6073 24	DATE
ejpam-6073	525	6	29	CARDINAL
ejpam-6073	525	7	0.002 0.004 0.006 0.008 0.01 0.012 -50	QUANTITY
ejpam-6073	525	8	50	CARDINAL
ejpam-6073	525	9	0	CARDINAL
ejpam-6073	525	10	2 5	CARDINAL
ejpam-6073	525	11	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	525	12	20	CARDINAL
ejpam-6073	525	13	0	CARDINAL
ejpam-6073	525	14	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	525	15	0 5	PERCENT
ejpam-6073	525	16	0	CARDINAL
ejpam-6073	525	17	75	CARDINAL
ejpam-6073	526	1	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	526	2	0 5 z	CARDINAL
ejpam-6073	526	3	0	DATE
ejpam-6073	526	4	25	CARDINAL
ejpam-6073	526	5	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	526	6	0 5 z	CARDINAL
ejpam-6073	526	7	0	DATE
ejpam-6073	526	8	50	CARDINAL
ejpam-6073	526	9	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	526	10	0 1 z	QUANTITY
ejpam-6073	526	11	0	CARDINAL
ejpam-6073	526	12	75	CARDINAL
ejpam-6073	526	13	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	526	14	0 500 1000 1500 2000	MONEY
ejpam-6073	526	15	3000	CARDINAL
ejpam-6073	526	16	3	CARDINAL
ejpam-6073	526	17	1	CARDINAL
ejpam-6073	526	18	p(x	PERSON
ejpam-6073	526	19	ℓ(x	PERSON
ejpam-6073	528	1	0.002 0.004 0.006 0.008 0.01 0.012 -50	QUANTITY
ejpam-6073	528	2	50	CARDINAL
ejpam-6073	528	3	0	CARDINAL
ejpam-6073	528	4	2 5	CARDINAL
ejpam-6073	528	5	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	528	6	20	CARDINAL
ejpam-6073	528	7	0	DATE
ejpam-6073	528	8	50	CARDINAL
ejpam-6073	529	1	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	529	2	0 5	PERCENT
ejpam-6073	529	3	0	CARDINAL
ejpam-6073	529	4	75	CARDINAL
ejpam-6073	529	5	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	529	6	0 5 z	CARDINAL
ejpam-6073	529	7	0	DATE
ejpam-6073	529	8	25	CARDINAL
ejpam-6073	529	9	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	529	10	0 5 z	CARDINAL
ejpam-6073	529	11	0	DATE
ejpam-6073	529	12	50	CARDINAL
ejpam-6073	529	13	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	529	14	0 1 z	QUANTITY
ejpam-6073	529	15	0	CARDINAL
ejpam-6073	529	16	75	CARDINAL
ejpam-6073	529	17	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	529	18	0 500 1000 1500 2000	MONEY
ejpam-6073	529	19	3000	CARDINAL
ejpam-6073	529	20	4	CARDINAL
ejpam-6073	529	21	2	CARDINAL
ejpam-6073	529	22	p(x	PERSON
ejpam-6073	529	23	ℓ(x	PERSON
ejpam-6073	530	1	a. m. al-mahdi	PERSON
ejpam-6073	531	1	j. pure	PERSON
ejpam-6073	531	2	18	CARDINAL
ejpam-6073	531	3	3	CARDINAL
ejpam-6073	531	4	2025	CARDINAL
ejpam-6073	531	5	6073 25	DATE
ejpam-6073	531	6	29	CARDINAL
ejpam-6073	531	7	0.002 0.004 0.006 0.008 0.01 0.012 -50	QUANTITY
ejpam-6073	531	8	50	CARDINAL
ejpam-6073	531	9	0	CARDINAL
ejpam-6073	531	10	2 5	CARDINAL
ejpam-6073	531	11	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	531	12	20	CARDINAL
ejpam-6073	531	13	0	CARDINAL
ejpam-6073	531	14	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	531	15	0 5	PERCENT
ejpam-6073	531	16	0	CARDINAL
ejpam-6073	531	17	75	CARDINAL
ejpam-6073	532	1	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	532	2	0 5 z	CARDINAL
ejpam-6073	532	3	0	DATE
ejpam-6073	532	4	25	CARDINAL
ejpam-6073	532	5	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	532	6	0 5 z	CARDINAL
ejpam-6073	532	7	0	DATE
ejpam-6073	532	8	50	CARDINAL
ejpam-6073	532	9	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	532	10	0 1 z	QUANTITY
ejpam-6073	532	11	0	CARDINAL
ejpam-6073	532	12	75	CARDINAL
ejpam-6073	532	13	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	532	14	0 500 1000 1500 2000	MONEY
ejpam-6073	532	15	3000	CARDINAL
ejpam-6073	532	16	5	CARDINAL
ejpam-6073	532	17	3	CARDINAL
ejpam-6073	532	18	p(x	PERSON
ejpam-6073	532	19	ℓ(x	PERSON
ejpam-6073	534	1	0.002 0.004 0.006 0.008 0.01 0.012 -50	QUANTITY
ejpam-6073	534	2	50	CARDINAL
ejpam-6073	534	3	0	CARDINAL
ejpam-6073	534	4	2 5	CARDINAL
ejpam-6073	534	5	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	534	6	20	CARDINAL
ejpam-6073	534	7	0	DATE
ejpam-6073	534	8	50	CARDINAL
ejpam-6073	535	1	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	535	2	0 5	PERCENT
ejpam-6073	535	3	0	CARDINAL
ejpam-6073	535	4	75	CARDINAL
ejpam-6073	535	5	0.002 0.004 0.006 0.008 0.01 0.012	QUANTITY
ejpam-6073	535	6	0 5 z	CARDINAL
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ejpam-6073	557	1	2	CARDINAL
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ejpam-6073	561	5	6073 27	DATE
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ejpam-6073	564	1	4	CARDINAL
ejpam-6073	564	2	a. bedford	PERSON
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ejpam-6073	567	1	5	CARDINAL
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ejpam-6073	568	1	4(17):2874–2878	CARDINAL
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ejpam-6073	569	1	6	CARDINAL
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ejpam-6073	572	1	7	CARDINAL
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ejpam-6073	572	3	one	CARDINAL
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ejpam-6073	575	1	one	CARDINAL
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ejpam-6073	580	1	10	CARDINAL
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ejpam-6073	581	1	one	CARDINAL
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ejpam-6073	583	1	11	CARDINAL
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ejpam-6073	586	1	12	CARDINAL
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ejpam-6073	589	1	13	CARDINAL
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ejpam-6073	591	1	164(3):213–259, 2002	DATE
ejpam-6073	592	1	14	CARDINAL
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ejpam-6073	595	2	stanislav antontsev	PERSON
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ejpam-6073	600	2	339(12):751–755, 2011	DATE
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ejpam-6073	620	1	23	CARDINAL
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ejpam-6073	622	2	192:1–21, 1974	DATE
ejpam-6073	623	1	24	CARDINAL
ejpam-6073	623	2	howard a. levine	PERSON
ejpam-6073	625	1	siam journal	ORG
ejpam-6073	625	2	5(1):138–146, 1974	DATE
ejpam-6073	626	1	25	CARDINAL
ejpam-6073	626	2	vladimir georgiev	PERSON
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ejpam-6073	629	1	26	CARDINAL
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ejpam-6073	631	1	7(2-3):379–386	DATE
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ejpam-6073	641	1	30	CARDINAL
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