Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part I

2008/01/14 by Schlag, Wilhelm, Soffer, Avy, Staubach, Wolfgang
#35J10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0801.1999

Abstract

Global in time dispersive estimates for the Schroedinger and wave evolutions are obtained on manifolds with conical ends whose Hamiltonian flow exhibits trapping. This paper deals with the case of initial data with "zero angular momentum".

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