Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity

被引：0

作者：

Bykov, A. A. ^{[1
]}

Nefedov, N. N. ^{[1
]}

Sharlo, A. S. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

nonlinear partial differential equations; comparison principle; contrast structure; internal transition layer; existence theorem; asymptotic expansion; BOUNDARY;

D O I：

10.1134/S096554251408003X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a solution to a generalized Kolmogorov-Petrovskii-Piskunov equation is proved and its asymptotic expansion of the internal transition layer type is constructed. The convergence of the asymptotics is proved by applying the asymptotic comparison principle developed for a new class of problems.

引用

页码：1234 / 1243

页数：10

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