Almost periodic traveling waves of nonlocal evolution equations
type: Item
instance of: scholarly article
title: Almost periodic traveling waves of nonlocal evolution equations
zbMATH Open document ID: 1001.35055
DOI: 10.1016/S0362-546X(01)00787-8
author: Fengxin Chen
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-08-25T00:00:00Z
review text: The author considers a nonlocal version of the reaction-diffusion equation. It is assumed that the corresponding reaction equation is bistable, i.e. it has exactly three almost periodic solutions \(u_- < u_0 < u_+\) such that \(u_{\pm}\) is stable and \(u_0\) unstable. The main result is the existence of an almost periodic traveling wave that connects \(u_-\) and \(u_+\).
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B15
zbMATH DE Number: 1788042
zbMATH Keywords: nonlinear phase transition
MaRDI profile type: Publication
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full work available at URL: s0362-546x(01)00787-8
OpenAlex ID: W1991929241
description: scientific article; zbMATH DE number 1788042