| 一类耦合的KdV型方程的周期解 |
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| 引用本文： | 丁丽娟,魏公明.一类耦合的KdV型方程的周期解[J].上海理工大学学报,2013,35(6):516-522. |
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| 作者姓名： | 丁丽娟 魏公明 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093 |
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| 摘 要： | 讨论了一类耦合的KdV方程在一定条件下周期解的存在性.利用Sobolev不等式，给出了此方程解的估计以及它们的一二三阶导数的估计，然后根据Galerkin近似解及其先验估计，得到了耦合KdV方程弱解的局部存在性.
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| 关 键 词： | KdV方程 周期解 Galerkin近似解 先验估计 |
| 收稿时间： | 2013/2/27 0:00:00 |
Periodic Solution of a Class of Coupled KdV Equation |
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| DING Li-juan and WEI Gong-ming.Periodic Solution of a Class of Coupled KdV Equation[J].Journal of University of Shanghai For Science and Technology,2013,35(6):516-522. |
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| Authors: | DING Li-juan and WEI Gong-ming |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The existence of periodic solution of a class of coupled KdV equation was discussed.By using Sobolev inequality,the estimates of solutions and the estimates of first-order,second-order and third-order derivatives were obtained,Then by using Galerkin approximate solution and its prior estimate,the local existence of weak solution of KdV equation was testified. |
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| Keywords: | KdV equation periodic solution Galerkin approximate solution prior estimate |
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