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

页码：55 / 64

页数：10

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