ON UNCONDITIONAL WELL-POSEDNESS FOR THE PERIODIC MODIFIED KORTEWEG-DE VRIES EQUATION

Luc Molinet (1) , Didier Pilod (2) , Stéphane Vento (3)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 Instituto de Matematica
3 LAGA - Laboratoire Analyse, Géométrie et Applications

We prove that the modified KdV equation is unconditionally well-posed in H s (T) for s ≥ 1/3.

Mots clés: MKdV equation; local well-posedness; unconditional uniqueness

Domaines: Equations aux dérivées partielles [math.AP]

Luc Molinet, Didier Pilod, Stéphane Vento. ON UNCONDITIONAL WELL-POSEDNESS FOR THE PERIODIC MODIFIED KORTEWEG-DE VRIES EQUATION. Journal of the Mathematical Society of Japan, 2019, 71 (1), pp.147-201. ⟨10.2969/jmsj/76977697⟩. ⟨hal-01346221v3⟩