Quantitative Limiting Absorption Principle in the Semiclassical Limit
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39_2014_Article_273.pdf
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Author(s)
Datchev, Kiril
Date Issued
April 2014
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00039-014-0273-8
