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math.AP2022★ 6 cited
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…
math.AP2022★ 6 cited
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…