On a nonlocal diffusion model with Neumann boundary conditions

被引：17
|
作者：
Bogoya, Mauricio [1 ]
Gomez S, Cesar A. [1 ]
机构：
[1] Univ Nacl Colombia, Dept Math, Bogota, Colombia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 06期
关键词：
Nonlocal diffusion; Neumann boundary conditions; Asymptotic behavior; ASYMPTOTIC-BEHAVIOR; PHASE-TRANSITIONS; CONVOLUTION MODEL; TRAVELING-WAVES; EQUATION;
D O I：
10.1016/j.na.2011.12.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a nonlocal diffusion model analogous to heat equation with Neumann boundary conditions. We prove the existence and uniqueness of solutions and a comparison principle. Furthermore, we analyze the asymptotic behavior of the solutions as the temporal variable goes to infinity and the boundary datum depends only on a spacial variable. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：3198 / 3209
页数：12
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