A remark on the stability of peakons for the Degasperis-Procesi equation

André Kabakouala (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

In this paper, we present a new argument (see Lemma 3.4) that allows us to simplify the proof of stability of peakons established in Lin and Liu (2009) (Theorem 1.1).

Mots clés: Stability; Peakons; Degasperis-Procesi Equation

Domaines: Equations aux dérivées partielles [math.AP]

André Kabakouala. A remark on the stability of peakons for the Degasperis-Procesi equation . Nonlinear Analysis: Theory, Methods and Applications, 2016, 132, pp.318 - 326. ⟨10.1016/j.na.2015.11.018⟩. ⟨hal-01145729v4⟩