Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions
Optimization and Control
2024-04-03 v1
Abstract
The primary focus of this paper is to establish the internal null controllability for the one-dimensional heat equation featuring dynamic boundary conditions. This achievement is realized by introducing a new Carleman estimate and an observability inequality for the corresponding backward system. In conclusion, the paper includes a set of numerical experiments that serve to confirm the validity of the theoretical findings and underscore the effectiveness of the designed control with a minimal L2-norm.
Cite
@article{arxiv.2404.01539,
title = {Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions},
author = {El Mustapha Ait Ben Hassi and Mariem Jakhoukh and Lahcen Maniar and Walid Zouhair},
journal= {arXiv preprint arXiv:2404.01539},
year = {2024}
}
Comments
20 pages, 3 figures, 1 Table