Acta mathematica scientia, Series B >
LOCAL WELL-POSEDNESS IN SOBOLEV SPACES WITH NEGATIVE INDICES FOR A SEVENTH ORDER DISPERSIVE EQUATION
Received date: 2012-08-23
Revised date: 2013-03-18
Online published: 2014-01-20
Supported by
This project is supported by the National Natural Science Foundation of China (11171266).
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 Hs(R) for negative indices of s > −11/4 .
Key words： Cauchy problem; local well-posedness; Sobolev spaces; bilinear estimate
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 . DOI: 10.1016/S0252-9602(13)60137-X
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