On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map
详细信息 查看全文
- 作者：Soonsik Kwon
- 关键词：Local well-posedness ; Ill-posedness ; KdV hierarchy
- 刊名：Journal of Differential Equations
- 出版年：2008
- 出版时间：1 November 2008
- 年：2008
- 卷：245
- 期：9
- 页码：2627-2659
- 全文大小：284 K
文摘
In this paper we prove that the following fifth-order equation arising from the KdV hierarchy is locally well-posed in for . Also, we prove the solution map of the equation is not uniformly continuous on a bounded set.