Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions
Analysis of PDEs
2022-09-30 v1 Optimization and Control
Abstract
We consider a fully-discrete approximations of 1-D heat equation with dynamic boundary conditions for which we provide a controllability result. The proof of this result is based on a relaxed observability inequality for the corresponding adjoint system. This is done by using a suitable Carleman estimate for such models where the discrete parameters and are connected to the one of the large Carleman parameters.
Keywords
Cite
@article{arxiv.2209.14351,
title = {Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions},
author = {Rodrigo Lecaros and Roberto Morales and Ariel Pérez and Sebastián Zamorano},
journal= {arXiv preprint arXiv:2209.14351},
year = {2022}
}