Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2019-02-01

Journal: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 45

Page Number: 866-876

ISSN: 1468-1218

Key Words: Two-component higher order; Camassa-Holm system; Cauchy problem; Well-posedness; Holder continuity

Abstract: 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.