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.
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页码：625 / 644
页数：20
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