ASYMPTOTIC BEHAVIOR OF A NONLOCAL KPP EQUATION WITH AN ALMOST PERIODIC NONLINEARITY

被引：2

作者：

Zhang, Yan ^{[1
]}

机构：

[1] 35 River Dr S Apt 210, Jersey City, NJ 07310 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 09期

关键词：

Asymptotic behavior; reaction-diffusion equation; partial integrodifferential equation; homogenization; viscosity solutions; VISCOSITY SOLUTIONS; HOMOGENIZATION;

D O I：

10.3034/dcds.2016025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a space-inhomogeneous 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.

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页码：5183 / 5199

页数：17

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