| 关于Camassa-Holm方程动量密度的紧支集在半轴上的估计 |
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| 引用本文： | 康顺光,贾佳.关于Camassa-Holm方程动量密度的紧支集在半轴上的估计[J].纯粹数学与应用数学,2014(3):264-270. |
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| 作者姓名： | 康顺光 贾佳 |
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| 作者单位： | 塔里木大学信息工程学院,新疆阿拉尔843300 |
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| 摘 要： | 主要考虑在半轴上Camassa-Holm方程解的动量密度紧支集大小的估计,方法是根据区间长度与区间特征值的关系,通过估计第一Dirichlet特征值来估计动量密度紧支集的长度.因为知道动量密度紧支集外解的性态,所以通过估计动量密度支集的大小可以得到方程解的更多信息.
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| 关 键 词： | Camassa-Holm方程 动量密度 紧支集 半轴 特征值 |
The estimate of the compact support of the momentum density of the Camassa-Holm equation on the half-line |
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| Kang Shunguang,Jia Jia.The estimate of the compact support of the momentum density of the Camassa-Holm equation on the half-line[J].Pure and Applied Mathematics,2014(3):264-270. |
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| Authors: | Kang Shunguang Jia Jia |
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| Institution: | (College of Information Engineering, Tarim university, Alar 843300, China) |
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| Abstract: | The paper consider the bounds for the size of the support of a compactly supported momentum density of the Camassa-Holm equation on the half-line. This is achieved by estimating the first Dirichlet eigenvalue of the support, according to the relations between the eigenvalues and the geometric properties of a domain. Because the behavior of the solution outside the support of the momentum density is known. By estimating the size of the momentum density to obtain more information on the solution. |
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| Keywords: | Camassa-Holm equation momentum density compact support half-line eigenvalue |
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