id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-664	Castillo, Ricardo; Guzman, Omar; Loayza, Miguel; Zegarra, Maria	Global solution for coupled parabolic systems with degenerate coefficients and time-weighted sources	2024	19	.pdf	application/pdf	7870	477	84	= ∫ RN Γ(x, y, t)v0(y) dy + ∫ t 0 ∫ RN Γ(x, y, t− σ)h2(σ)u(y, σ) q dy dσ <∞, (1.5) for almost all x ∈ RN and t ∈ (0, T ). Suppose that (4.6) holds for some n ∈ N. Then, by (2.2) we have ∥un+1(t)∥∞ ≤ ∥u1(t)∥∞ + ∫ t 0 σr∥S(t− σ)vn(σ) p∥∞ dσ ≤ c1∥u0∥∞ + c1 ∫ t 0 σr∥vn(σ)∥p∞ dσ ≤ c1∥u0∥∞ + c1[2c1(∥u0∥∞ + ∥v0∥∞)]p ∫ t 0 σr dσ, (4.7) 14 R. CASTILLO, O. GUZMÁN-REA, M. LOAYZA, M. ZEGARRA EJDE-2024/67 for t ∈ (0, T ).	cache/ejde-664.pdf	txt/ejde-664.txt