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

作　　者：王宏伟 

机构地区：[1]Department of Mathematics, Anyang Normal University

出　　处：《Acta Mathematica Scientia》2014年第1期199-208,共10页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11171266)

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 Hs（R） for negative indices of s〉-114 .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〉-114 .

关 键 词：Cauchy problem local well-posedness Sobolev spaces bilinear estimate 

分 类 号：O175[理学—数学]