Asymptotics of solutions of non-linear dissipative equations

被引：1

作者：

Kaikina, EI ^{[1
]}

Naumkin, PI ^{[1
]}

Shishmarev, IA ^{[1
]}

机构：

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

来源：

IZVESTIYA MATHEMATICS | 2004年 / 68卷 / 03期

关键词：

D O I：

10.1070/IM2004v068n03ABEH000485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the large-time asymptotic behaviour of solutions of the Cauchy problem for a system of non-linear evolution equations with dissipation. In the case when the initial data are small, we construct solutions using the contraction-mapping principle. When the initial data are large, we obtain the large-time asymptotics of solutions by taking into account a certain symmetry of the non-linear terms.

引用

页码：461 / 492

页数：32

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