Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613011 | Journal of Differential Equations | 2008 | 33 Pages |
Abstract
In this paper we prove that the following fifth-order equation arising from the KdV hierarchy{∂tu+∂x5u+c1∂xu∂x2u+c2u∂x3u=0,u:Rt×Rx→R,u(0,x)=u0(x),u0∈Hs(R) is locally well-posed in Hs(R)Hs(R) for s>52. Also, we prove the solution map of the equation is not uniformly continuous on a bounded set.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Soonsik Kwon,