13 citations · 15 across the 5 of their papers we have counts for
5 papers
Pathological set with loss of regularity for nonlinear Schr{ö}dinger equations
Rémi Carles, Louise Gassot
We consider the mass-supercritical, defocusing, nonlinear Schr{ö}dinger equation. We prove loss of regularity in arbitrarily short times for regularized initial data belonging to a…
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…
Zero-dispersion limit for the Benjamin-Ono equation on the torus with single well initial data
Louise Gassot
We consider the zero-dispersion limit for the Benjamin-Ono equation on the torus. We prove that when the initial data is a single well, the zero-dispersion limit exists in the weak…
Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian
Louise Gassot, Mickaël Latocca
We study the local well-posedness of the nonlinear Schrödinger equation associated to the Grushin operator with random initial data. To the best of our knowledge, no well-posedness…