id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-135	Chuong, Quach V.; Nhan, Le C.; Truong, Le X.	Existence and nonexistence of global solutions to the Cahn-Hilliard equation with variable exponent sources	2022	21	.pdf	application/pdf	8412	602	89	If u0 ∈ H2 0 (Ω)\{0} holds J(u0) ≤ 0, then Tmax <∞. Furthermore, we can get an upper bound for the maximal existence time Tmax ≤ C max { ‖u0‖2−q − 2 , ‖u0‖2−q + 2 } , where C = q−max{Sq − q(·),2, S q+ q(·),2} (q− − 2)(q− −max{2, p+}) > 0, (4.3) and Sq(·),2 is the optimal embedding constant of Lq(·)(Ω) ↪→ L2(Ω) when q− > 2, i.e., Sq(·),2 = sup u∈Lq(·)(Ω)\{0} ‖u‖2 ‖u‖q(·) . ≤ 2q− q− − 2 ( J(u0) + ‖u0‖22 ) e−2βt.	cache/ejde-135.pdf	txt/ejde-135.txt