SHARP GLOBAL WELL-POSEDNESS OF THE BBM EQUATION IN LP TYPE SOBOLEV SPACES

被引：13

作者：

Wang, Ming ^{[1
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 10期

关键词：

BBM equation; well posedness; ill posedness; L-P space; BONA-MAHONY EQUATION; LOW REGULARITY SPACES; BENJAMIN EQUATION; ILL-POSEDNESS; OPERATORS;

D O I：

10.3934/dcds.2016053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global well-posedness of the BBM equation is established in H-s,H-p(R) with s >= max {0,1/p - 1/2} and 1 <= p < infinity. Moreover, the well-posedness results are shown to be sharp in the sense that the solution map is no longer C-2 from H-s,H-p(R) to C([0,T]; H-s,H-p(R)) for smaller s or p. Finally, some growth bounds of global solutions in terms of time T are proved.

引用

页码：5763 / 5788

页数：26

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