On Schrodinger equation outside strictly convex obstacles

Oana Ivanovici (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We prove Strichartz estimates without loss of derivatives for the Schrodinger equation on a Riemannian manifold with smooth, strictly geodesically concave boundary. We deduce global existence for the H^1-critical (quintic) Schrodinger equation in 3D.

Mots clés: Schrodinger equation; Strichartz inequalities

Domaines: Equations aux dérivées partielles [math.AP]

Oana Ivanovici. On Schrodinger equation outside strictly convex obstacles. 2008. ⟨hal-00319146v1⟩