id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-550	Mahdi, Achache; Hossni, Tebbani	Maximal regularity for non-autonomous Cauchy problems in weighted spaces	2020	24	.pdf	application/pdf	8836	714	91	(4.7) Integrating by parts, we obtain for t ∈ [0, τ ] and f ∈W 1,2 β,0(0, τ,H) A(0)u(t) = A(0) ∫ t 0 e−(t−s)A(0)f(s) ds = f(t)− ∫ t 0 e−(t−s)A(0)ḟ(s) ds = u̇(t) +A(0)u(t)− ∫ t 0 e−(t−s)A(0)ḟ(s) ds. Let x ∈ H and t ∈	cache/ejde-550.pdf	txt/ejde-550.txt