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.

引用

页码：3198 / 3209

页数：12

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