On global Strichartz estimates for non trapping metrics

Jean-Marc Bouclet (1) , Nikolay Tzvetkov (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

We prove global Strichartz estimates (with spectral cutoff on the low frequencies) for non trapping metric perturbations of the Schroedinger equation, posed on the Euclidean space.

Domaines: Equations aux dérivées partielles [math.AP]

Jean-Marc Bouclet, Nikolay Tzvetkov. On global Strichartz estimates for non trapping metrics. Journal of Functional Analysis, 2008, 254 (6), pp.1661-1682. ⟨hal-00988714⟩