LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION

doi:10.1016/S0252-9602(13)60137-X

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 199-208.doi: 10.1016/S0252-9602(13)60137-X

LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION

王宏伟

Department of Mathematics, Anyang Normal University, Anyang 455000, China

收稿日期:2012-08-23 修回日期:2013-03-18 出版日期:2014-01-20 发布日期:2014-01-20
基金资助:
This project is supported by the National Natural Science Foundation of China (11171266).

LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION

WANG Hong-Wei

Department of Mathematics, Anyang Normal University, Anyang 455000, China

Received:2012-08-23 Revised:2013-03-18 Online:2014-01-20 Published:2014-01-20
Supported by:
This project is supported by the National Natural Science Foundation of China (11171266).

摘要/Abstract

摘要：

This paper is concerned with the Cauchy problem of a seventh order dispersive equation. We prove local well-posedness with initial data in Sobolev spaces H^s(R) for negative indices of s > −11/4 .

关键词: Cauchy problem, local well-posedness, Sobolev spaces, bilinear estimate

Abstract:

Key words: Cauchy problem, local well-posedness, Sobolev spaces, bilinear estimate

中图分类号:

35K30

王宏伟. LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION[J]. 数学物理学报(英文版), 2014, 34(1): 199-208.

WANG Hong-Wei. LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION[J]. Acta mathematica scientia,Series B, 2014, 34(1): 199-208.

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LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION

LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION

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