Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds

2014/10/25 by Yiran Wang, Wang, Yiran
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1410.6936

openalex publication_date 2014/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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