id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-549	Arumugam, Gurusamy; Erhardt, Andre H.	Existence and uniqueness of weak solutions to parabolic problems with nonstandard growth and cross diffusion	2020	13	.pdf	application/pdf	5765	408	81	Here, it is worth to mention that the notion (u− g) ∈W p(·) 0 (ΩT ) or u ∈ g +W p(·) 0 (ΩT ) respectively indicates that u agrees with g on the lateral boundary of the cylinder ΩT , i.e. u ∈ W p(·) g (ΩT ). (1.5) hold for any choice of z1, z2 ∈ ΩT , where ω : [0,∞) → [0, 1] denotes a modulus of continuity.	cache/ejde-549.pdf	txt/ejde-549.txt