id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3768	Di, Huafei; Chen, Lin; Song, Zefang	Some Results on Blow-up Phenomenon for Nonlinear Porous Medium Equations with Weighted Source	2020	18	.pdf	application/pdf	5684	356	83	Furthermore, from the choice of ε1 and ε2, it is easy to see that ε1(1+ε2)n (m+1)(n−2) = 1. Inserting (3.4)-(3.6) into (3.3), it follows that ϕ′(t) ≤ −(m+ 1) ∫ Ω |∇um|2dx+ (m+ 1)C3(l + 1) m+ l + 1 |Ω| + ut −4um = a(x)f(u), x ∈ Ω, t > 0, (1.1) u(x, t) = 0 or ∂u ∂ν = 0, x ∈ ∂Ω, t > 0, (1.2) u(x, 0) = g(x) ≥ 0, x ∈ Ω, (1.3) where m > 1 and Ω ⊂ Rn (n ≥ 3) is a smooth bounded domain, ν is the outward normal vector, g(x) is a continuous nonnegative function and satisfies the compatible condition.	cache/ejpam-3768.pdf	txt/ejpam-3768.txt