| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611466 | Journal of Differential Equations | 2011 | 33 Pages |
Abstract
We study the stability of conservative solutions of the Cauchy problem for the Camassa–Holm equation ut−uxxt+κux+3uux−2uxuxx−uuxxx=0 with periodic initial data u0. In particular, we derive a new Lipschitz metric dD with the property that for two solutions u and v of the equation we have dD(u(t),v(t))⩽eCtdD(u0,v0). The relationship between this metric and usual norms in and is clarified.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
