Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664064 | Acta Mathematica Scientia | 2012 | 7 Pages |
Abstract
In this article, we consider the Cauchy problems for the modified Kawahara equation∂tu+μ∂x(u3)+α∂x3u+β∂x3u+γ∂xu=0and the Kaup-Kupershmidt equation∂tu+μu∂x2u+α∂x5u+β∂x3u+γ∂xu=0.Using the general well-posedness principle introduced by I. Bejenaru and T. Tao, we prove that the modified Kawahara equation is ill-posed for the initial data in Hs(R) with s<−14 and that the Kaup-Kupershmidt equation is ill-posed for the initial data in Hs(R) with s < 0.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yan Wei, Li Yongsheng,