Global Continua of Positive Solutions for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition

被引：4
|
作者：
Walker, Christoph [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2013年 / 25卷 / 01期
关键词：
Population models; Age structure; Quasilinear diffusion; Global bifurcation; Maximal regularity;
D O I：
10.1007/s10884-013-9292-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a quasilinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion. We make use of global bifurcation theory to prove existence of an unbounded continuum of positive solutions.
引用
收藏
页码：159 / 172
页数：14
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