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

被引：45
|
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.
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页码：985 / 1008
页数：24
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