Nicolas Camps

About

Introduction.

I am a third year graduate student under the supervision of Nicolas Burq and Frédéric Rousset. My researches focus on the study of short and long time behaviors of nonlinear dispersive PDEs both in the probabilistic and deterministic settings.

Detailed CV.

Keywords.

Nonlinear Schrödinger equation, Probabilistic Cauchy theory, Distroted Fourier transform, Asymptotic stability, Scattering, Semiclassical analysis, I-method, Harmonic analysis, Schrödinger equation on compact manifolds.

Publications and Preprints

Publications

  • Scattering for the cubic Schrödinger equation in 3D with randomized initial data,

    Transactions of the American Mathematical Society, to appear.

    Arxiv Preprint October 2021

  • Asymptotic stability of small ground states for NLS under random perturbations,

    Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, to appear.

    Arxiv Preprint December 2020

Preprints

  • Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations (with Louise Gassot)

    Arxiv Preprint March 2022

Contact

Location:

Université Paris-Sud, 91405, Orsay Cedex, France

Office:

Batiment 307, office 2A1.