关于Camassa-Holm方程动量密度的紧支集在半轴上的估计  

The estimate of the compact support of the momentum density of the Camassa-Holm equation on the half-line

作　　者：康顺光[1] 贾佳[1] 

机构地区：[1]塔里木大学信息工程学院,新疆阿拉尔843300

出　　处：《纯粹数学与应用数学》2014年第3期264-270,共7页Pure and Applied Mathematics

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.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.

关 键 词：CAMASSA-HOLM方程 动量密度 紧支集 半轴 特征值 

分 类 号：O175[理学—数学]