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摘要
We prove a Liouville property for uniformly almost localized (up to translations) H (1)-global solutions of the Camassa-Holm equation with a momentum density that is a non-negative finite measure. More precisely, we show that such a solution has to be a peakon. As a consequence, we prove that peakons are asymptotically stable in the class of H (1)-functions with a momentum density that belongs to . Finally, we also get an asymptotic stability result for a train of peakons.
- 出版日期2018-10
