The stochastic logarithmic Schr\"odinger equation
Probability
2015-11-03 v1
Abstract
In this paper we prove global existence and uniqueness of solutions to the stochastic logarithmic Schr\"odinger equation with linear multiplicative noise. Our approach is mainly based on the rescaling approach and the method of maximal monotone operators. In addition, uniform estimates of solutions in the energy space and in an appropriate Orlicz space are also obtained here.
Keywords
Cite
@article{arxiv.1511.00564,
title = {The stochastic logarithmic Schr\"odinger equation},
author = {Viorel Barbu and Michael Röckner and Deng Zhang},
journal= {arXiv preprint arXiv:1511.00564},
year = {2015}
}