id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-363	Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar; Nabti, Aberrazak	Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group	2020	10	.pdf	application/pdf	3847	198	81	A function u is called a local weak solution of (1.1)– (1.2), if u ∈ C([0, T );Lploc(R2N+1)) and satisfies λ ∫ T 0 ∫ R2N+1 Iα0|t|u| pφ(η, t) dη [13] considered the equation i∂tu+ ∆u = λ Γ(α) ∫ t 0 (t− s)α−1|u(s)|p ds, x ∈ RN , t > 0, (1.4) with u(x, 0) = f(x), f ∈ L1(RN ) and proved that if 1 < p ≤ 1+2(α+1)/(N−2α)+, λ ∈ C\{0}, λ1 > 0 and ∫ RN f2(x) dx < 0, then equation (1.4) has no global weak solutions.	cache/ejde-363.pdf	txt/ejde-363.txt