Julien Sabin

activity

20112025

most citedThe Hartree equation for infinitely many particles. I. Well-posedness theory

75 citations · 177 across the 13 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math-ph2013★ 56 cited

The Hartree equation for infinitely many particles. II. Dispersion and scattering in 2D

Mathieu Lewin, Julien Sabin

We consider the nonlinear Hartree equation for an interacting gas containing infinitely many particles and we investigate the large-time stability of the stationary states of the f…

math-ph2013★ 75 cited

The Hartree equation for infinitely many particles. I. Well-posedness theory

Mathieu Lewin, Julien Sabin

We show local and global well-posedness results for the Hartree equation $i \partial_{t} γ = [- Δ + w * ρ_{γ}, γ],$ where $γ$ is a bounded self-adjoint operator on $L^{2} (R^{d})$ , $ρ_{γ} (x) = γ (x, x)$ …

math-ph2013★ 13 cited

A family of monotone quantum relative entropies

Mathieu Lewin, Julien Sabin

We study here the elementary properties of the relative entropy $\cH(A,B)=\tr[ϕ(A)-ϕ(B)-ϕ'(B)(A-B)]$ for $ϕ$ a convex function and $A, B$ bounded self-adjoint operators. In particul…