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math.AP2020
The Van Vleck Formula on Ehrenfest time scales and stationary phase asymptotics for frequency-dependent phases
Matthew D. Blair
The Van Vleck formula is a semiclassical approximation to the integral kernel of the propagator associated to a time-dependent Schrödinger equation. Under suitable hypotheses, we p…
math.AP2020
Uniform Sobolev Estimates on compact manifolds involving singular potentials
Matthew D. Blair, Xiaoqi Huang, Yannick Sire +1
We obtain generalizations of the uniform Sobolev inequalities of Kenig, Ruiz and the fourth author \cite{KRS} for Euclidean spaces and Dos Santos Ferreira, Kenig and Salo \cite{DKS…