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math.AP2023
Stability of homogeneous equilibria of the Hartree-Fock equation, for its equivalent formulation for random fields
Charles Collot, Elena Danesi, Anne-Sophie de Suzzoni +1
The Hartree-Fock equation admits homogeneous states that model infinitely many particles at equilibrium. We prove their asymptotic stability in large dimensions, under assumptions…
math.AP2022
Strichartz estimates for the Dirac equation on asymptotically flat manifolds
Federico Cacciafesta, Anne-Sophie de Suzzoni, Long Meng
In this paper we prove Strichartz estimates for the Dirac equation on asymptotically flat manifolds. The proof combines the weak dispersive estimates proved by the first two author…