Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions

被引：0
|
作者：
Christoph Walker
机构：
[1] Leibniz Universität Hannover,Institut für Angewandte Mathematik
来源：
Nonlinear Differential Equations and Applications NoDEA | 2012年 / 19卷
关键词：
35K55; 35Q92; 47B65; 92D25; Cross-diffusion; age structure; global bifurcation; Fredholm operator; maximal regularity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper is concerned with a system consisting of two coupled nonlinear parabolic equations with a cross-diffusion term, where the solutions at positive times define the initial states. The equations arise as steady state equations of an age-structured predator–prey system with spatial dispersion. Based on unilateral global bifurcation methods for Fredholm operators and on maximal regularity for parabolic equations, global bifurcation of positive solutions is derived.
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页码：195 / 218
页数：23
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