Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations
type: Item
instance of: scholarly article
title: Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations
zbMATH Open document ID: 1065.35130
author: Jong-Shenq Guo
author: Yoshihisa Morita
published in: Discrete and Continuous Dynamical Systems
publication date: 2005-04-11T00:00:00Z
review text: The authors prove the existence of entire solutions for a class of scalar reaction-diffusion equations with Dirichlet boundary conditions. They do so by generalizing a comparison principle, previously used successfully to obtain the same goal in the Fisher-KPP and the bistable equations.
reviewed by: Domingo Salazar
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 2154989
zbMATH Keywords: traveling front
zbMATH Keywords: bistable nonlinearity
zbMATH Keywords: Dirichlet boundary conditions
zbMATH Keywords: comparison principle
zbMATH Keywords: Fisher-KPP
MaRDI profile type: Publication
full work available at URL: dcds.2005.12.193
OpenAlex ID: W2066739572
DOI: 10.3934/DCDS.2005.12.193
description: scientific article; zbMATH DE number 2154989