ILL-POSEDNESS

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ILL-POSEDNESS OF MODIFIED KAWAHARA EQUATION AND KAUP-KUPERSHMIDT EQUATION被引量：2
《Acta Mathematica Scientia》2012年第2期710-716,共7页闫威 李用声 
supported by NNSFC under grant numbers 10771074 and 11171116;supported in part by NNSFC under grant number 10801055;the Doctoral Program of NEM of China under grant number 200805611026;supported in part by the Fundamental Research Funds for the Central Universities under the grant number 2012ZZ0072
In this article, we consider the Cauchy problems for the modified Kawahara equationδtu＋μδx（u3）＋αδx5u＋βδx3u＋γδxu=0 and the Kaup-Kupershmidt equation δtu＋μuδx2u＋αδx5u＋βδx3u＋βδx3u＋γδxu=0Usi...
关键词：ILL-POSEDNESS modified Kawahaxa equation Kaup-Kupershmidt equation general well-posedness principle 
ILL-POSEDNESS FOR THE NONLINEAR DAVEY-STEWARTSON EQUATION
《Acta Mathematica Scientia》2008年第1期117-127,共11页沈彩霞 郭柏灵 
supported by the Science Foundation of Jiangsu University (07JDG038)
The nonlinear D-S equations on R^d, with general power nonlinearity and with both the focusing and defocusing signs, are proved to be ill-posed in the Sobolev space H^s whenever the exponent s is lower than that predi...
关键词：The Davey-Stewartson equation the Cauchy problem ILL-POSEDNESS 
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