Asymptotic Behavior of a Nonlocal KPP Equation with an Almost Periodic Nonlinearity

Autor:	Zhang, Yan
Rok vydání:	2014
Předmět:	Mathematics - Analysis of PDEs 35B40 (Primary) 35B27 35K57 35R09 35D40 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We consider a space-inhomogeneous Kolmogorov-Petrovskii-Piskunov (KPP) equation with a nonlocal diffusion and an almost-periodic nonlinearity. By employing and adapting the theory of homogenization, we show that solutions of this equation asymptotically converge to its stationary states in regions of space separated by a front that is determined by a Hamilton-Jacobi variational inequality. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1411.5095 Zobrazit plný text záznamu View this record from Arxiv