19 citations · 132 across the 18 of their papers we have counts for
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On Quantum Sobolev Inequalities
Laurent Lafleche
We investigate the quantum analogue of the classical Sobolev inequalities in the phase space, with the quantum Sobolev norms defined in terms of Schatten norms of commutators. Thes…
On the semiclassical regularity of thermal equilibria
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identi…
On the Rate of Convergence in the Limit from the Hartree to the Vlasov$\unicode{x2013}$Poisson Equation
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
Using a new stability estimate for the difference of the square roots of two solutions of the Vlasov$\unicode{x2013}$Poisson equation, we obtain the convergence in the norm o…
Global-in-time Semiclassical Regularity for the Hartree-Fock Equation
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
For arbitrarily large times , we prove the uniform-in- propagation of semiclassical regularity for the solutions to the Hartree$\unicode{x2013}$Fock equation with singu…