A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations

被引：5

作者：

Herr, Sebastian ^{[1
]}

机构：

[1] Tech Univ Dortmund, Fak Math, D-44221 Dortmund, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 08期

关键词：

failure of bilinear estimates; periodic Benjamin-Ono equation;

D O I：

10.1090/S0002-9939-08-09238-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Explicit counterexamples to bilinear estimates related to the Benjamin-Ono equation in the periodic setting are calculated for functions of zero mean value. As a consequence, certain bilinear estimates fail to hold in spite of the analyticity of the flow map. The latter has been shown recently by L. Molinet.

引用

页码：2881 / 2886

页数：6

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