id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1059	Li, Linlin; Chen, Zhuo	Long-time behavior of solutions for time-periodic reaction-diffusion equations and applications	2024	14	.pdf	application/pdf	6239	345	88	N − 1 c ln t− L(ε) and t ≥ T , (1.15) v(t, x) ≤ ε, for |x| ≥ ct− N − 1 c ln t+ L(ε) and t ≥ T . Assume that Ω = RN \K and the solution v(t, x) of (1.14) grows in the sense that v(t, x) → 1 locally uniformly in Ω as t → +∞. Then, for any EJDE-2024/69 TIME-PERIODIC REACTION-DIFFUSION EQUATIONS 5 ε > 0, there exist positive constants L(ε) and T such that v(t, x) ≥ 1− ε, for x ∈ Ω such that |x| ≤ ct− N − 1 c ln t− L1(ε) and t ≥ T , (1.17) v(t, x) ≤ ε, for x ∈ Ω such that |x| ≥ ct− N − 1 c ln t+ L2(ε) and t ≥ T .	cache/ejde-1059.pdf	txt/ejde-1059.txt