Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part I
Analysis of PDEs
2008-01-15 v1 Mathematical Physics
math.MP
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".
Keywords
Cite
@article{arxiv.0801.1999,
title = {Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part I},
author = {Wilhelm Schlag and Avy Soffer and Wolfgang Staubach},
journal= {arXiv preprint arXiv:0801.1999},
year = {2008}
}
Comments
32 pages, This paper differs in terms of both generalizations and improvement of the exposition from the paper "Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution, Part I", and is therefore posted as a new paper