文章基本信息

标题：Existence and nonexistence of solutions for the generalized Camassa-Holm equation
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作者：Pan Xiujuan ; Shin Min Kang ; Young Chel Kwun 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：111
DOI：10.1186/1687-1847-2014-111
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the Cauchy problem of a generalized Camassa-Holm equation. It is shown that the equation is locally well posed when the initial data are sufficiently smooth. Moreover, we present a sufficient condition which guarantees the existence of low regularity solutions for the generalized Camassa-Holm equation by the method of energy estimate. Finally, the nonexistence of smooth solitary-wave solutions is investigated. MSC:35Q51, 35Q53, 35B35.
关键词：generalized Camassa-Holm equation ; energy estimate ; low regularity solution ; smooth solitary wave