Quantitative Limiting Absorption Principle in the Semiclassical Limit
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Geometric and Functional Analysis
Datchev, Kiril. “Quantitative Limiting Absorption Principle in the Semiclassical Limit.” Geometric and Functional Analysis 24, no. 3 (April 29, 2014): 740–747.
Author's final manuscript