Methods and Applications of Analysis
Volume 23 (2016)
A Lipschitz metric for conservative solutions of the two-component Hunter–Saxton system
Pages: 215 – 232
We establish the existence of conservative solutions of the initial value problem of the two-component Hunter–Saxton system on the line. Furthermore we investigate the stability of these solutions by constructing a Lipschitz metric.
two-component Hunter–Saxton system, conservative solutions, Lipschitz metric
2010 Mathematics Subject Classification
Primary 35B35, 35Q53. Secondary 35Q20.