NONLOCAL DEGENERATE REACTION-DIFFUSION EQUATIONS WITH GENERAL NONLINEAR DIFFUSION TERM

被引：0
|
作者：
Sanni, Sikiru Adigun [1 ]
机构：
[1] Univ Uyo, Dept Math & Stat, Uyo 520003, Nigeria
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
关键词：
Initial boundary value problems; Galerkin approximations; energy estimates; Banach fixed point theorem; existence and uniqueness of weak solutions; BLOW-UP; POSITIVE SOLUTIONS; BOUNDARY; BEHAVIOR;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global existence and uniqueness results in a subset of a Sobolev space. Furthermore, we prove nonexistence of smooth solution or blow-up of solution under some other set of conditions. Lastly, we give illustrative examples for which our results apply.
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页数：27
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