Existence of stationary solutions for some nonlocal reaction-diffusion equations

被引：7
|
作者：
Vougalter, Vitali [1 ]
Volpert, Vitaly [2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, F-69622 Villeurbanne, France
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 12卷 / 01期
关键词：
Nonlinear heat equations; non Fredholm operators; Sobolev spaces; SOLVABILITY CONDITIONS; HOLDER THEORY; DIRICHLET; OPERATORS;
D O I：
10.4310/DPDE.2015.v12.n1.a3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to the existence of solutions of a nonlocal reaction-diffusion equation arising in population dynamics. The proof is based on a fixed point technique. We use solvability conditions for elliptic operators in unbounded domains which do not satisfy the Fredholm property.
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页码：43 / 51
页数：9
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