| Local Solvability of Cauchy Problem for Kaup-Kupershmidt Equation |
| Received:April 12, 2008 Revised:January 05, 2009 |
| Key Words:
Kaup-Kupershmidt equation initial value problem local well-posed.
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| Fund Project:Supported by the Scientific Research Projects of Zhejiang Province Science & Technology Department (Grant No.2008C13068) and Scientific Research Projects of Zhejiang Ocean University (Grant Nos.21065030608; X08M014). |
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| Abstract: |
| This paper deals with the local solvability of initial value problem for Kaup-Kupershmidt equations. Indeed, using Bourgain method, we prove that the Cauchy problem of Kaup-Kupershmidt equation is local well-posed in $H^s$ whenever $s>\frac98$, which improves the former results in [5]. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.03.019 |
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