The Schr{\"o}dinger equation with spatial white noise potential
Analysis of PDEs
2016-12-08 v1 Probability
Abstract
We consider the linear and nonlinear Schr{\"o}dinger equation with a spatial white noise as a potential in dimension 2. We prove existence and uniqueness of solutions thanks to a change of unknown originally used in [8] and conserved quantities.
Keywords
Cite
@article{arxiv.1612.02230,
title = {The Schr{\"o}dinger equation with spatial white noise potential},
author = {Arnaud Debussche and Hendrik Weber},
journal= {arXiv preprint arXiv:1612.02230},
year = {2016}
}