Travelling wave solutions of a nonlinear diffusion equation with integral term
type: Item
instance of: scholarly article
title: Travelling wave solutions of a nonlinear diffusion equation with integral term
zbMATH Open document ID: 0725.35054
DOI: 10.4171/ZAA/402
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1990-01-01T00:00:00Z
review text: Summary: Travelling wave solutions with compact support are investigated for a class of nonlinear nonlocal degenerate diffusion equations introduced by T. Nagai and M. Mimura. The problem is reduced to a boundary value problem for an integro-differential equation of second order and in turn to an integral equation with nonnegative kernel. There are given existence proofs for three types of power nonlinearities in case of a general integral term and closed solutions for a simple integral term.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 4196551
zbMATH Keywords: Travelling wave solutions
zbMATH Keywords: nonlocal degenerate diffusion equations
author: Lothar von Wolfersdorf
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/402
OpenAlex ID: W2379845265
description: scientific article