The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation

被引：0

作者：

N. N. Nefedov

A. G. Nikitin

机构：

[1] Moscow State University,Faculty of Physics

来源：

Computational Mathematics and Mathematical Physics | 2012年 / 52卷

关键词：

reaction-diffusion problem; singularly perturbed integro-parabolic equation; boundary layers; asymptotic expansion of solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The initial boundary value problem for a nonlinear singularly perturbed integro-parabolic equation is examined. An asymptotic expansion of the solution to this problem containing the temporal, spatial and corner boundary layers is constructed. The existence and local uniqueness of the solution is justified by using the asymptotic method of differential inequalities.

引用

页码：926 / 931

页数：5

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