On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:245

Article

Kwon, Soonsik

关键词: Local well-posedness;    III-posedness;    KdV hierarchy;   

DOI  :  10.1016/j.jde.2008.03.020

来源: Elsevier

【 摘 要 】

In this paper we prove that the following fifth-order equation arising from the KdV hierarchy [GRAPHICS] is locally well-posed in H-s (R) for s > 5/2. Also, we prove the solution map of the equation is not uniformly continuous on a bounded set. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free