41 citations · 83 across the 6 of their papers we have counts for
10 papers · 1 filter
Cascade of phase shifts for nonlinear Schrodinger equations
Remi Carles
We consider a semi-classical nonlinear Schrodinger equation. For initial data causing focusing at one point in the linear case, we study a nonlinearity which is super-critical in t…
(Semi)classical limit of the Hartree equation with harmonic potential
Remi Carles, Norbert Mauser, Hans Peter Stimming
Nonlinear Schrodinger Equations (NLS) of the Hartree type occur in the modeling of quantum semiconductor devices. Their "semiclassical" limit of vanishing (scaled) Planck constant…
Global existence results for nonlinear Schrodinger equations with quadratic potentials
Remi Carles
We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive compo…
On the role of quadratic oscillations in nonlinear Schroedinger equations II. The -critical case
Remi Carles, Sahbi Keraani
We consider a nonlinear semi-classical Schroedinger equation for which quadratic oscillations lead to focusing at one point, described by a nonlinear scattering operator. The relev…
Scattering theory for the Schrodinger equation with repulsive potential
Jean-Francois Bony, Remi Carles, Dietrich Haefner +1
We consider the scattering theory for the Schrodinger equation with as a reference Hamiltonian, for , in any space dimension. We prove that when this Hamilto…
Nonlinear Schrodinger equations with Stark potential
Remi Carles, Yoshihisa Nakamura
We study the nonlinear Schrodinger equations with a linear potential. A change of variables makes it possible to deduce results concerning finite time blow up and scattering theory…