1 citations · 1 across the 3 of their papers we have counts for
4 papers
Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation
Nicolas Camps, Louise Gassot, Slim Ibrahim
We obtain probabilistic local well-posedness in quasilinear regimes for the Schrödinger half-wave equation with a cubic nonlinearity. We need to use a refined ansatz because of the…
Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations
Nicolas Camps, Louise Gassot
The purpose of this work is to evidence a pathological set of initial data for which the regularized solutions by convolution experience a norm-inflation mechanism, in arbitrarily…
Scattering for the cubic Schr{ö}dinger equation in 3D with randomized radial initial data
Nicolas Camps
We obtain almost-sure scattering for the cubic defocusing Schr{ö}dinger equation in the Euclidean space {}, with randomized radially-symmetric initial data at some su…
Asymptotic stability of small ground states for NLS under random perturbations
Nicolas Camps
We consider the cubic Schrödinger equation on the euclidean space perturbed by a short-range potential . The presence of a negative simple eigenvalue for gives rise to a…