| EXISTENCE AND DECAY OF WEAK SOLUTIONS TO DEGENERATE DAVEY-STEWARTSON EQUATIONS |
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| 作者姓名： | 李用声 郭柏灵 |
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| 作者单位： | Li YongshengWuhan Institute of Physics and Mathematics，Chinese Academy of Sciences，Wuhan 430071，China Department of Mathematics，Huazhong University of Science and Technology，Wuhan 430074，ChinaQuo Baling Institute of Applied Physics and Computational |
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| 基金项目： | Natural Science Foundation of China（10001013） |
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| 摘 要： | In this paper, the authors consider a system of degenerate Davey-Stewartson equations. They prove the global existence of weak solutions in some weighted function spaces and the decay of weak solutions in some anisotropic spaces for appropriate initial data.
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| 收稿时间： | 3 July 2001 |
EXISTENCE AND DECAY OF WEAK SOLUTIONS TO DEGENERATE DAVEY-STEWARTSON EQUATIONS |
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| Li YongshengWuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan ,China.EXISTENCE AND DECAY OF WEAK SOLUTIONS TO DEGENERATE DAVEY-STEWARTSON EQUATIONS[J].Acta Mathematica Scientia,2002,22(3):302-310. |
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| Authors: | Li YongshengWuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan China |
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| Institution: | Li YongshengWuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071,China Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,ChinaQuo Baling Institute of Applied Physics and Computational |
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| Abstract: | In this paper, the authors consider a system of degenerate Davey-Stewartson equations. They prove the global existence of weak solutions in some weighted function spaces and the decay of weak solutions in some anisotropic spaces for appropriate initial data. |
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| Keywords: | Degenerate Davey-Stewartson equations weak solution global existence decay |
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