Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 39, Issue 3, Pages 452-511Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2013.866957
Keywords
Analytic continuation; Asymptotically hyperbolic spaces; High-energy resolvent estimates; Semiclassical parametrix construction; 58G25; 58J40; 35P25
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Funding
- National Science Foundation [DMS-1005944, DMS-0901334, DMS-0801226]
- Stanford University
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In this paper we construct a parametrix for the high-energy asymptotics of the analytic continuation of the resolvent on a Riemannian manifold which is a small perturbation of the Poincare metric on hyperbolic space. As a result, we obtain non-trapping high energy estimates for this analytic continuation.
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