Controllability for forward stochastic parabolic equations with dynamic boundary conditions without extra forces
Analysis of PDEs
2024-03-14 v2 Optimization and Control
Abstract
In this paper, we continue the study of some controllability issues for the forward stochastic parabolic equation with dynamic boundary conditions. The main novelty in the present paper consists of considering only one control without extra forces in the noise parts. Utilizing an adequate spectral inequality and the iterative Lebeau-Robiano strategy, we first establish an observability inequality for the corresponding adjoint backward stochastic system. The null controllability result is then established by the classical duality approach. As a consequence of the null controllability property, an approximate controllability result is proved.
Cite
@article{arxiv.2312.15537,
title = {Controllability for forward stochastic parabolic equations with dynamic boundary conditions without extra forces},
author = {Said Boulite and Abdellatif Elgrou and Lahcen Maniar and Omar Oukdach},
journal= {arXiv preprint arXiv:2312.15537},
year = {2024}
}