| Bourgain空间X~(s,b)及其在KdV型方程中的应用(英文) |
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| 引用本文： | 谌稳固.Bourgain空间X~(s,b)及其在KdV型方程中的应用(英文)[J].数学进展,2011(6). |
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| 作者姓名： | 谌稳固 |
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| 作者单位： | 北京应用物理与计算数学研究所; |
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| 基金项目： | supported in part by NSFC(No10931001) |
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| 摘 要： | 本文总结了使用Bourgain空间技术研究KdV型方程初值问题的局部适定性和整体适定性方面所取得的结果.
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| 关 键 词： | 局部适定性 整体适定性 Bourgain空间 色散方程 Cauchy问题 |
Bourgain Space X~(s,b) With Applications to the KdV Type Equations |
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| CHEN Wengu.Bourgain Space X~(s,b) With Applications to the KdV Type Equations[J].Advances in Mathematics,2011(6). |
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| Authors: | CHEN Wengu |
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| Institution: | CHEN Wengu (Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing,100088,P. R.China) |
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| Abstract: | In this paper we review the local and global well-posedness of the Cauchy problem for the KdV type equations by using Bourgain space technique. |
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| Keywords: | local well-posedness global well-posedness Bourgain space dispersive equation Cauchy problem |
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