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math.AP2013
Quantitative limiting absorption principle in the semiclassical limit
Kiril Datchev
We give an elementary proof of Burq's resolvent bounds for long range semiclassical Schroedinger operators. Globally, the resolvent norm grows exponentially in the inverse semiclas…
math.AP2013
Nontrapping surfaces of revolution with long living resonances
Kiril R. Datchev, Daniel D. Kang, Andre P. Kessler
We study resonances of surfaces of revolution obtained by removing a disk from a cone and attaching a hyperbolic cusp in its place. These surfaces include ones with nontrapping geo…