97 citations · 118 across the 12 of their papers we have counts for
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Velocity Averaging Lemmas: Classical, Quantum and Semi-Classical
François Golse, Norbert J. Mauser, Jakob Möller
Averaging lemmas were introduced as a tool of the mathematical analysis of kinetic equations, i.e. PDEs for functions in phase space containing a transport ("advection") te…
Velocity Averaging for the Wigner Kinetic Equation in the Semiclassical Regime
François Golse, Jakob Möller
This paper discusses the possibility of applying the velocity averaging theorems in [F. Golse, P.-L. Lions, B. Perthame, R. Sentis: J. Funct. Anal. 76(1):110--125, 1988] to the Wig…
Time Dependent Quantum Perturbations Uniform in the Semiclassical Regime
François Golse, Thierry Paul
We present a time dependent quantum perturbation result, uniform in the Planck constant, for perturbations of potentials whose gradients are Lipschitz continuous by potentials whos…
Quantum and Semiquantum Pseudometrics and Applications
François Golse, Thierry Paul
We establish a Kantorovich duality for the pseudometric introduced in [F. Golse, T. Paul, Arch. Rational Mech. Anal. 223 (2017), 57--94], obtained from the usua…
Observability for the Schrödinger Equation: an Optimal Transport Approach
François Golse, Thierry Paul
We establish an observation inequality for the Schrödinger equation on , uniform in the Planck constant . The proof is based on the pseudometric introd…
Semiclassical Evolution With Low Regularity
François Golse, Thierry Paul
We prove semiclassical estimates for the Schr\''odinger-von Neumann evolution with potentials and density matrices whose square root have either Wigner functions with low…