High frequency dispersive estimates in dimension two

Simon Moulin (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We prove dispersive estimates at high frequency in dimension two for both the wave and the Schrodinger groupes for a very large class of real-valued potentials.

Mots clés: dispersive estimates

Domaines: Equations aux dérivées partielles [math.AP]

Simon Moulin. High frequency dispersive estimates in dimension two. Annales Henri Poincaré, 2009, 10 (2), pp.415-428. ⟨hal-00165166v2⟩