Vol. 4, No. 1, 2011
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Strichartz estimates on asymptotically hyperbolic manifolds

Jean-Marc Bouclet
Vol. 4 (2011), No. 1, 1–84
DOI: 10.2140/apde.2011.4.1
Abstract

We prove local in time Strichartz estimates without loss for the restriction of the solution of the Schrödinger equation, outside a large compact set, on a class of asymptotically hyperbolic manifolds.

Keywords
Strichartz estimates, asymptotically hyperbolic, Isozaki–Kiada parametrix, semiclassical functional calculus
Mathematical Subject Classification 2000
Primary: 35B45, 35S30, 58J40, 58J47
Milestones
Received: 14 March 2008
Revised: 4 August 2009
Accepted: 3 December 2009
Published: 27 March 2011
Authors
Jean-Marc Bouclet
Institut de Mathematiques de Toulouse
UMR CNRS 5219
118 route de Narbonne
F-31062 Toulouse Cedex 9
France