EXISTENCE AND UNIQUENESS OF TRAVELING WAVES IN A REACTION-DIFFUSION EQUATION WITH COMBUSTION NONLINEARITY

被引：49

作者：

XIN, X

机构：

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1991年 / 40卷 / 03期

关键词：

D O I：

10.1512/iumj.1991.40.40044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of travelling wave solutions in a reaction-diffusion equation with general periodic diffusion coefficients, zero drift coefficients, and combustion nonlinearity in R(n), n greater-than-or-equal-to 1. We also prove monotonicity and uniqueness of travelling wave solutions under an additional assumption on the combustion nonlinearity.

引用

页码：985 / 1008

页数：24

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