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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.AP2023★ 1 cited
Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications
Elena Danesi
In this paper we continue the analysis of the dispersive properties of the 2D and 3D massless Dirac-Coulomb equations that has been started in arXiv:1503.00945 and arXiv:2101.07185…
math.AP2023
Strichartz estimates for the half wave/Klein-Gordon and Dirac Equations on compact manifolds without boundary
Federico Cacciafesta, Elena Danesi, Long Meng
In this paper we study Strichartz estimates for the half wave, the half Klein-Gordon and the Dirac Equations on compact manifolds without boundary, proving in particular for each o…