| Abstract: |
| In this paper, we establish a Liouville property for a kind of almost localized solutions of Novikov equation by generalizing the $Y$-almost localized solution. Besides, we utilize this property to prove the Novikov peakons are asymptotically stable. Our relaxed localization condition on $y$ extends the requirement in previous works and leaves the argument free from the conservation law of $y$. Thus it could be potentially useful in studying the asymptotic stability of peakons to a wider class of models. |
|