Exact controllability for a refined Stochastic Wave Equation
Optimization and Control
2023-09-21 v2
Abstract
In this paper, we obtain the exact controllability for a refined stochastic wave equation with three controls by establishing a novel Carleman estimate for a backward hyperbolic-like operator. Compared with the known result, the novelty of this paper is twofold: (1) Our model contains the effects in the drift terms when we put controls directly in the diffusion terms, which is more sensible for practical applications; (2) We provide an explicit description of the waiting time which is sharp in the case of dimension one and is independent of the coefficients of lower terms.
Cite
@article{arxiv.2211.15038,
title = {Exact controllability for a refined Stochastic Wave Equation},
author = {Zhonghua Liao and Qi Lü},
journal= {arXiv preprint arXiv:2211.15038},
year = {2023}
}