Quantitative Limiting Absorption Principle in the Semiclassical Limit
Author(s)
Datchev, Kiril
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We give an elementary proof of Burq’s resolvent bounds for long range semiclassical Schrödinger operators. Globally, the resolvent norm grows exponentially in the inverse semiclassical parameter, and near infinity it grows linearly. We also weaken the regularity assumptions on the potential.
Date issued
2014-04Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Geometric and Functional Analysis
Publisher
Springer Basel
Citation
Datchev, Kiril. “Quantitative Limiting Absorption Principle in the Semiclassical Limit.” Geometric and Functional Analysis 24, no. 3 (April 29, 2014): 740–747.
Version: Author's final manuscript
ISSN
1016-443X
1420-8970