Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds
Analysis of PDEs
2014-10-28 v1
Abstract
We construct a semi-classical parametrix for the Laplacian on non-trapping asymptotically hyperbolic manifolds, which generalizes the construction of Melrose, Sa Barreto and Vasy. As applications, we obtain high energy resolvent estimates and resonance free strips. Also, we prove that the Friedlander radiation field decays exponentially for initial data in proper spaces.
Keywords
Cite
@article{arxiv.1410.6936,
title = {Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds},
author = {Yiran Wang},
journal= {arXiv preprint arXiv:1410.6936},
year = {2014}
}
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26 pages