| Kaup-Kupershmidt方程Cauchy问题的局部可解性 |
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| 引用本文： | 赵向青,顾沈明.Kaup-Kupershmidt方程Cauchy问题的局部可解性[J].数学研究及应用,2010,30(3):543-551. |
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| 作者姓名： | 赵向青 顾沈明 |
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| 作者单位： | 浙江海洋学院, 数理与信息学院, 浙江 舟山 316000;浙江海洋学院, 数理与信息学院, 浙江 舟山 316000 |
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| 基金项目： | 浙江省科技厅研究项目(Grant No.2008C13068); 浙江海洋学院研究项目(Grant No.21065030608;X08M014). |
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| 摘 要： | 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 H8 whenever s 〉 9/8, which improves the former results in 5].
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| 关 键 词： | Kaup-Kupershmidt equation initial value problem local well-posed. |
| 收稿时间： | 2008/4/12 0:00:00 |
| 修稿时间： | 1/5/2009 12:00:00 AM |
Local Solvability of Cauchy Problem for Kaup-Kupershmidt Equation |
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| Xiang Qing ZHAO and Shen Ming GU.Local Solvability of Cauchy Problem for Kaup-Kupershmidt Equation[J].Journal of Mathematical Research with Applications,2010,30(3):543-551. |
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| Authors: | Xiang Qing ZHAO and Shen Ming GU |
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| Institution: | School of Mathematics, Physics and Information Science, Zhejiang Ocean University,Zhejiang 316000, P. R. China |
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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]. |
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| Keywords: | Kaup-Kupershmidt equation initial value problem local well-posed |
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