id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-741	de Carvalho, Pitágoras; Demarque, Reginaldo; Límaco, Juan; Viana, Luiz	Null-controllability for 1-D degenerate quasilinear parabolic equations	2025	22	.pdf	application/pdf	9251	462	74	Moreover, if u0 ∈ H1 a , then u ∈ U := H1(0, T ;L2(0, 1)) ∩ L2(0, T ;H2 a) ∩ C0([0, T ];H1 a), and there exists a constant CT > 0 such that sup t∈[0,T ] (∥u(t)∥2H1 a ) + ∫ T 0 ( ∥ut|2L2(0,1) + ∥(aux)x∥2L2(0,1) ) ≤ CT ( ∥u0∥2H1 a + ∥g∥2L2(Q) + ∥h∥2L2(Qω) ) . ∥δ, that is, ∥f∥δ = (∫ T 0 ∫ 1 0 δf2 dx dt )1/2 for each f ∈ L2(Q; δ).	cache/ejde-741.pdf	txt/ejde-741.txt