Singularly perturbed two-dimensional parabolic problem in the case of intersecting roots of the reduced equation

被引：0

作者：

Butuzov V.F. ^{[1
]}

机构：

[1] Faculty of Physics, Moscow State University, Leninskie gory

来源：

Computational Mathematics and Mathematical Physics | 2007年 / 47卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic stability; Parabolic equations; Singularly perturbed equations;

D O I：

10.1134/S0965542507040070

中图分类号：

学科分类号：

摘要：

The singularly perturbed parabolic equation -u t + ε2Δu - f(u, x, ε) = 0, x ε D ⊃ℝ 2, t > 0 with Robin conditions on the boundary of D is considered. The asymptotic stability as t → ∞ and the global domain of attraction are analyzed for the stationary solution whose limit as ε → 0 is a nonsmooth solution to the reduced equation f(u, x, 0) = 0 that consists of two intersecting roots of this equation. © Nauka/Interperiodica 2007.

引用

页码：620 / 628

页数：8