Observability Estimate for Stochastic Schroedinger Equations
Optimization and Control
2013-05-06 v2
Abstract
In this paper, we establish a boundary observability estimate for stochastic Schr\"{o}dinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic Schr\"{o}dinger-like operator. Applications to the state observation problem for semilinear stochastic Schr\"{o}dinger equations and the unique continuation problem for stochastic Schr\"{o}dinger equations are also addressed.
Cite
@article{arxiv.1206.0593,
title = {Observability Estimate for Stochastic Schroedinger Equations},
author = {Qi Lu},
journal= {arXiv preprint arXiv:1206.0593},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1304.7136