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- Title
Lipschitz metric for the modified two-component Camassa-Holm system.
- Authors
Guan, Chunxia; Yan, Kai; Wei, Xuemei
- Abstract
This paper is devoted to the existence and Lipschitz continuity of global conservative weak solutions in time for the modified two-component Camassa-Holm system on the real line. We obtain the global weak solutions via a coordinate transformation into the Lagrangian coordinates. The key ingredients in our analysis are the energy density given by the positive Radon measure and the proposed new distance functions as well.
- Subjects
COORDINATE transformations; LIPSCHITZ spaces; LAGRANGIAN points; ENERGY density; RADON measures; MATHEMATICAL functions
- Publication
Analysis & Applications, 2018, Vol 16, Issue 2, p159
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530516500226