Asymptotic smoothing effect for weakly damped forced Korteweg-de Vries equations

被引：0

作者：

Goubet, O ^{[1
]}

机构：

[1] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2000年 / 6卷 / 03期

关键词：

asymptotic smoothing effect; weakly damped Korteweg-de Vries equation; Bourgain spaces; regularity of the attractor;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Weakly damped forced KdV equation provides a dissipative semigroup on L-x(2). We prove that this semigroup enjoys an asymptotic smoothing effect, i.e. that all solutions converge towards a set of smoother solutions, when time goes to infinity.

引用

页码：625 / 644

页数：20

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