Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation

被引：12

作者：

Butuzov, V. F. ^{[1
]}

Bychkov, A. I. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Parabolic Equation; Simple Root; Lower Solution; Double Root; Arbitrary Positive Integer;

D O I：

10.1134/S0012266113100078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a singularly perturbed parabolic equation, we construct and justify the asymptotics of the classical solution of an initial-boundary value problem in the case of a double root of the degenerate equation. This case substantially differs from the case of a simple root in that the scales of the boundary layer variables are different.

引用

页码：1261 / 1273

页数：13