Null controllability for stochastic parabolic equations with Robin boundary conditions
Analysis of PDEs
2024-06-13 v1 Optimization and Control
Abstract
We establish the null controllability of forward and backward linear stochastic parabolic equations with linear Robin (or Fourier) boundary conditions. These equations incorporate zero and first order terms with bounded coefficients. To prove our null controllability results, a key tool will be the derivation of two new global Carleman estimates for the weak solutions of the corresponding adjoint equations in negative Sobolev space. These Carleman estimates are established using a duality method.
Cite
@article{arxiv.2406.08103,
title = {Null controllability for stochastic parabolic equations with Robin boundary conditions},
author = {Said Boulite and Abdellatif Elgrou and Lahcen Maniar},
journal= {arXiv preprint arXiv:2406.08103},
year = {2024}
}