On the Cauchy problem for a Sobolev-type equation with quadratic non-linearity

被引：1

作者：

Aristov, A. I.

机构：

来源：

IZVESTIYA MATHEMATICS | 2011年 / 75卷 / 05期

关键词：

non-linear partial differential equations; Sobolev-type equations; asymptotic behaviour of solutions; perturbation theory;

D O I：

10.1070/IM2011v075n05ABEH002556

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the asymptotic behaviour as t -> infinity of the solution of the Cauchy problem for a Sobolev-type equation with quadratic non-linearity and develop ideas used by I. A. Shishmarev and other authors in the study of classical and Sobolev-type equations. Conditions are found under which it is possible to consider the case of an arbitrary dimension of the spatial variable.

引用

页码：871 / 887

页数：17

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