Existence of Pulses for Local and Nonlocal Reaction-Diffusion Equations

被引：1
|
作者：
Eymard, Nathalie [1 ]
Volpert, Vitaly [1 ]
Vougalter, Vitali [2 ]
机构：
[1] CNRS, UMR 5208, Inst Camille Jordan, Univ Lyon 1, F-69622 Villeurbanne, France
[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2017年 / 29卷 / 03期
关键词：
Reaction-diffusion equation; Existence of pulse solutions; Leray-Schauder method; NONLINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; BEHAVIOR;
D O I：
10.1007/s10884-015-9487-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Reaction-diffusion equations with a space dependent nonlinearity are considered on the whole axis. Existence of pulses, stationary solutions which vanish at infinity, is studied by the Leray-Schauder method. It is based on the topological degree for Fredholm and proper operators with the zero index in some special weighted spaces and on a priori estimates of solutions in these spaces. Existence of solutions is related to the speed of travelling wave solutions for the corresponding autonomous equations with the limiting nonlinearity.
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页码：1145 / 1158
页数：14
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