4 papers
Nonlinear Schrödinger equations with spatial white noise potential on full space for
Antoine Mouzard, Immanuel Zachhuber
In this paper, we prove existence and uniqueness of energy solutions for nonlinear Schrödinger equations with a multiplicative white noise on with . We rely on an exp…
High order uniform in time schemes for weakly nonlinear Schrödinger equation and wave turbulence
Quentin Chauleur, Antoine Mouzard
We introduce two multiscale numerical schemes for the time integration of weakly nonlinear Schrödinger equations, built upon the discretization of Picard iterates of the solution.…
Analysis of the Anderson operator
I. Bailleul, N. V. Dang, A. Mouzard
We consider the continuous Anderson operator on a two dimensional closed Riemannian manifold . We provide a short self-contained functional analysis construc…
Periodic nonlinear Schrödinger equation with distributional potential and invariant measures
Arnaud Debussche, Antoine Mouzard
In this paper, we continue some investigations on the periodic NLSE started by Lebowitz, Rose and Speer and by Bourgain with the addition of a distributional multiplicative potenti…