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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：复旦大学
学位：博士
所在单位：数学科学学院
学科：应用数学
办公地点：大连理工大学主校区科技园大厦A1124
联系方式：Tel:0411-84708351-8124
电子邮箱：fqli@dlut.edu.cn
Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system
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论文类型：期刊论文
发表时间：2019-02-01
发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
收录刊物：SCIE、Scopus
卷号：45
页面范围：866-876
ISSN号：1468-1218
关键字：Two-component higher order; Camassa-Holm system; Cauchy problem; Well-posedness; Holder continuity
摘要：This work studies the Cauchy problem of a two-component higher order Camassa-Holm system, which is well-posed in Sobolev spaces H-s (R) x Hs-2 (R), s > 7/2 and its solution map is continuous. We show that the solution map is Holder continuous in H-s(R) x Hs-2 (R) equipped with the H-r(R) x Hr-2 (R)-topology for 1 <= r < s, and the Holder exponent is expressed in terms of s and r. (C) 2018 Elsevier Ltd. All rights reserved.