Title of article
Ill-posedness of Kawahara equation and Kaup–Kupershmidt equation
Author/Authors
Yan، نويسنده , , Wei and Li، نويسنده , , Yongsheng، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
7
From page
486
To page
492
Abstract
In this paper we consider the Cauchy problems for the Kawahara equation and the Kaup–Kupershmidt equation. By using the general well-posedness principle introduced by I. Bejenaru and T. Tao (2006) [1], we prove that the Kawahara equation is ill-posed for the initial data in H s ( R ) with s < − 9 4 and the Kaup–Kupershmidt equation is ill-posed for the initial data in H s ( R ) with s < − 1 4 .
Keywords
Ill-posedness , Kaup–Kupershmidt equation , General well-posedness principle , Kawahara equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561890
Link To Document