Methods and Applications of Analysis

Volume 23 (2016)

Number 3

A Lipschitz metric for conservative solutions of the two-component Hunter–Saxton system

Pages: 215 – 232



Anders Nordli (Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway)


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.

Published 9 November 2016