| 高阶广义微扰KdV方程的弱解(英文) |
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| 引用本文： | 成军祥,王艳红.高阶广义微扰KdV方程的弱解(英文)[J].数学季刊,2011(1):39-45. |
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| 作者姓名： | 成军祥 王艳红 |
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| 作者单位： | School of Mathematics and Information Science;Henan Polytechnic University; |
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| 基金项目： | Supported by the Innovation Talents of Science and Technology of Henan University(2009-HASTIT-007); Supported by the Natural Science Program of Department of Education(2011A110006) |
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| 摘 要： | By using the theory of compensated compactness,we prove that there exists a sequence {uδε} converges nearly everywhere to the solution of the initial-value problem of generalized KdV equation with high order perturbation terms,namely we prove the existence of the weak solution.
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| 关 键 词： | generalized KdV equation with high order perturbation terms weak solution compensated compactness |
Weak Solution of Generalized KdV Equation with High Order Perturbation Terms |
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| CHENG Jun-xiang,WANG Yan-hong.Weak Solution of Generalized KdV Equation with High Order Perturbation Terms[J].Chinese Quarterly Journal of Mathematics,2011(1):39-45. |
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| Authors: | CHENG Jun-xiang WANG Yan-hong |
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| Institution: | CHENG Jun-xiang,WANG Yan-hong(School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China) |
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| Abstract: | |
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| Keywords: | generalized KdV equation with high order perturbation terms weak solution compensated compactness |
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