Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds

Yiran Wang

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arXiv · 1410.6936

Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds

Yiran Wang

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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.

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Yiran Wang. 2014-10-25. Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds. https://arxiv.org/abs/1410.6936

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