| 带粘性项的Camassa-Holm方程柯西问题H1解的衰减估计 |
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| 引用本文： | 欧阳艳,杨灵娥.带粘性项的Camassa-Holm方程柯西问题H1解的衰减估计[J].佛山科学技术学院学报(自然科学版),2007,25(5):6-9,31. |
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| 作者姓名： | 欧阳艳 杨灵娥 |
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| 作者单位： | 华南师范大学,数学系,广东,广州,510631;佛山科学技术学院,信息科学与数学系,广东,佛山,528000;佛山科学技术学院,信息科学与数学系,广东,佛山,528000 |
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| 摘 要： | 研究了无界区域上的Camassa-Holm方程,利用傅立叶变换,普朗歇尔定理和区间拆分的技巧得到了Camassa-Holm方程柯西问题的解的H1衰减估计。
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| 关 键 词： | Camassa-Holm方程 傅立叶变换 普朗歇尔定理 衰减估计 |
| 文章编号： | 1008-0171（2007）05-0006-04 |
| 修稿时间： | 2007-09-17 |
Decay eestimate of H1 solutions for three dimensional viscous Camassa-Holm equations |
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| OUYANG Yan,YANG Ling-e.Decay eestimate of H1 solutions for three dimensional viscous Camassa-Holm equations[J].Journal of Foshan University(Natural Science Edition),2007,25(5):6-9,31. |
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| Authors: | OUYANG Yan YANG Ling-e |
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| Institution: | 1. Department of Mathematics and Science.South China Normal University, Guangzhou 510631, China;2. Department of Information Sciences and Mathematics, Foshan University. Foshan 528000, China |
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| Abstract: | In this paper,we study the Camassa-Holm equation in whole R3,the decay estimate of H1 solutions is established by making use of Fourier transform,Plancherel theorem and dividing integral area. |
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| Keywords: | Camassa-Holm equation Fourier transform Plancherel theorem decay estimate |
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