Dirichlet problem for an equation of non-local diffusion with source

被引：0
|
作者：
Bogoya, Mauricio [1 ]
Maricel Elorreaga, Luz [1 ]
机构：
[1] Univ Nacl Colombia, Dept Matemat, Bogota, Colombia
来源：
BOLETIN DE MATEMATICAS | 2012年 / 19卷 / 01期
关键词：
nonlocal diffusion; Dirichlet conditions; blow-up;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Dirichlet boundary value problem for a nonlocal diffusion nonlinear operator with source term in a domain bounded in RN with a smooth boundary. First, we prove existence and uniqueness of the solutions and next the validity of a comparison principle for solutions of these problem. Moreover, we analyze the phenomenon of blow up for the solutions of the problem for some given sources.
引用
收藏
页码：55 / 64
页数：10
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