On well-posedness for the Benjamin-Ono equation

被引：70

作者：

Burq, Nicolas

Planchon, Fabrice

机构：

[1] Univ Paris 13, Inst Galilee, CNRS, UMR 7539,Lab Anal Geometrie & Applicat, F-93430 Villetaneuse, France

[2] CNRS, UMR 8628, Dept Math, F-91405 Orsay, France

[3] Univ Paris 11, Inst Univ France, F-91405 Orsay, France

来源：

MATHEMATISCHE ANNALEN | 2008年 / 340卷 / 03期

关键词：

D O I：

10.1007/s00208-007-0150-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove existence and uniqueness of solutions for the Benjamin-Ono equation with data in H-s (R), s > 1/4. Moreover, the flow is holder continuous in weaker topologies.

引用

页码：497 / 542

页数：46

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