Precise smoothing effect in the exterior of balls

Oana Ivanovici (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We are interested in this article in investigating the smoothing effect properties of the solutions of the Schrodinger equation. We deduce global well-posedness results for the cubic Schrodinger equation in the exterior of several convex obstacles of R^{3}.

Mots clés: Schrodinger equation; smoothing effect

Domaines: Equations aux dérivées partielles [math.AP]

Oana Ivanovici. Precise smoothing effect in the exterior of balls. 2007. ⟨hal-00380118⟩