On Asymptotic Behavior of Solution for the Navier-Stokes Equations in a Time Dependent Domain.
On perturbative cubic nonlinear Schrödinger equations under complex nonhomogeneities and complex initial conditions.
On some perturbation techniques for quasi-linear parabolic equations.
On the double-well problem for Dirac operators
On the generalized Fourier transforms associated with Schrödinger operators with long-range perturbations.
On the Hölder-continuity of solutions of a nonlinear parabolic variational inequality
On the NLS dynamics for infinite energy vortex configurations on the plane.
On the short time asymptotic of the stochastic Allen–Cahn equation
A description of the short time behavior of solutions of the Allen–Cahn equation with a smoothened additive noise is presented. The key result is that in the sharp interface limit solutions move according to motion by mean curvature with an additional stochastic forcing. This extends a similar result of Funaki [Acta Math. Sin (Engl. Ser.)15 (1999) 407–438] in spatial dimension n=2 to arbitrary dimensions.
On the structure of the conformal Gaussian curvature equation on R2. II.
Ondes oscillantes simples quasilinéaires
Optimal measures for the fundamental gap of Schrödinger operators
We study the potential which minimizes the fundamental gap of the Schrödinger operator under the total mass constraint. We consider the relaxed potential and prove a regularity result for the optimal one, we also give a description of it. A consequence of this result is the existence of an optimal potential under L1 constraints.
Original title unknown