id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-433	Wang, Fei; Hao, Jianghao	Decay of energy for viscoelastic wave equations with Balakrishnan-Taylor damping and memories	2020	19	.pdf	application/pdf	6264	382	87	= 1 ρ+ 2 ‖ut‖ρ+2 ρ+2 + 1 2 ‖∇ut‖22 + J(t), (2.10) where (g1 ◦ ∇u)(t) = ∫ Ω a1(x) ∫ t 0 g1(t− s)|∇u(t)−∇u(s)|2 ds dx, (g2 }∇u)(t) = ∫ Ω a2(x) ∫ ∞ 0 g2(s)|∇u(t)−∇u(t− s)|2 ds dx. Lemma 2.3. E(t) is a non-increasing function for t ≥ 0, and E′(t) = ∫ Ω a1(x) ∫ t 0 g′1(t− s)|∇u(t)−∇u(s)|2 ds dx, (g′2 }∇u)(t)	cache/ejde-433.pdf	txt/ejde-433.txt