Solution to the stochastic Schr\"odinger equation on the full space
Probability
2017-07-21 v1 Analysis of PDEs
Abstract
We here show how the methods recently applied by [DW16] to solve the stochastic nonlinear Schr\"odinger equation on can be enhanced to yield solutions on if the non-linearity is weak enough. We prove that the solutions remains localized on compact time intervals which allows us to apply energy methods on the full space.
Cite
@article{arxiv.1707.06431,
title = {Solution to the stochastic Schr\"odinger equation on the full space},
author = {Arnaud Debussche and Jörg Martin},
journal= {arXiv preprint arXiv:1707.06431},
year = {2017}
}