| 二阶Camassa-Holm方程Cauchy问题解的正则性 |
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| 引用本文： | 丁丹平,朱琳.二阶Camassa-Holm方程Cauchy问题解的正则性[J].河南师范大学学报(自然科学版),2016(4):7-13. |
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| 作者姓名： | 丁丹平 朱琳 |
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| 作者单位： | 江苏大学理学院 |
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| 基金项目： | 国家自然科学基金(11371175) |
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| 摘 要： | 通过利用小黏性方法得到二阶Camassa-Holm方程柯西问题局部弱解的存在性,再利用Hlder不等式和Gronwall不等式等进行一系列的先验估计,研究Camassa-Holm方程解的正则性.
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| 关 键 词： | 二阶Camassa-Holm方程 弱解的存在性 解的正则性估计 |
The Regularity of Solution of the Cauchy Problem for 2-order Camassa-Holm Equation |
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| DING Danping;ZHU Lin.The Regularity of Solution of the Cauchy Problem for 2-order Camassa-Holm Equation[J].Journal of Henan Normal University(Natural Science),2016(4):7-13. |
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| Authors: | DING Danping;ZHU Lin |
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| Institution: | DING Danping;ZHU Lin;College of Science,Jiangsu University; |
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| Abstract: | In this paper,the Cauchy problem of the second-order Camassa-Holm equation is studied to obtain the existence of the local weak solutions through the approach of viscosity.Also,the regularity of Camassa-Holm equations is researched by using Hlder inequality,Gronwall inequality and a series of prior estimates. |
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| Keywords: | second-order Camassa-Holm equation the existence of weak solutions the estimate on the regularity of solution |
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