Journal
ANNALES DE L INSTITUT FOURIER
Volume 62, Issue 6, Pages 2347-2377Publisher
ANNALES INST FOURIER
DOI: 10.5802/aif.2751
Keywords
Resolvent estimates; trapping; propagation of singularities
Categories
Funding
- National Science Foundation [DMS-0801226]
- Stanford University
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1004395] Funding Source: National Science Foundation
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Motivated by the study of resolvent estimates in the presence of trapping, we prove a semiclassical propagation theorem in a neighborhood of a compact invariant subset of the bicharacteristic flow which is isolated in a suitable sense. Examples include a global trapped set and a single isolated periodic trajectory. This is applied to obtain microlocal resolvent estimates with no loss compared to the nontrapping setting.
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