Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds

Yiran Wang

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Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds

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arxiv 1410.6936 v1 pith:HNI4T3JL submitted 2014-10-25 math.AP

Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds

Yiran Wang This is my paper

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keywords asymptoticallyhyperbolicmanifoldsnon-trappingradiationresolventapplicationsbarreto

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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.

Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds

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