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.

引用

页码：195 / 218

页数：23

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