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Indexed by:期刊论文

Date of Publication:2019-02-01

Journal:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals:SCIE、Scopus

Volume:45

Page Number:866-876

ISSN No.: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.