Resonance free regions for nontrapping manifolds with cusps

Details Resonance free regions for nontrapping manifolds with cusps Resonance free regions for nontrapping manifolds with cusps

2009-10-28

arxiv.org/abs/0910.5283v1

Mathematics

Analysis of PDEs

39 pages, 6 figures

Scientific paper

For nonpositively curved perturbations of parabolic cylinders we establish
the existence of a logarithmically large resonance free region. We use an
escape function construction in a compact part of the manifold and near
infinity we use the method of complex scaling. To the author's knowledge this
is the first proof of a large resonance free region for manifolds with cusps.

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