3 papers
math.AP2022
Multilinear smoothing and local well-posedness of a stochastic quadratic nonlinear Schr{ö}dinger equation
Nicolas Schaeffer
In this article, we study a -dimensional stochastic quadratic nonlinear Schrödinger equation (SNLS), driven by a fractional derivative (of order ) of a space-time white no…
math.AP2021
Study of a fractional stochastic heat equation
Nicolas Schaeffer
In this article, we study a -dimensional stochastic nonlinear heat equation (SNLH) with a quadratic nonlinearity, forced by a fractional space-time white noise: \begin{equation*…
math.AP2020
A nonlinear Schr{ö}dinger equation with fractional noise
Aurélien Deya, Nicolas Schaeffer, Laurent Thomann
We study a stochastic Schr{ö}dinger equation with a quadratic nonlinearity and a space-time fractional perturbation, in space dimension less than 3. When the Hurst index is large e…