Boundary controllability for a coupled system of degenerate/singular parabolic equations
Optimization and Control
2021-04-02 v1
Abstract
In this paper we study the boundary controllability for a system of two coupled degenerate/singular parabolic equations with a control acting on only one equation. We analyze both approximate and null boundary controllability properties. Besides, we provide an estimate on the null-control cost. The proofs are based on the use of the moment method by Fattorini and Russell together with some results on biorthogonal families.
Keywords
Cite
@article{arxiv.2104.00610,
title = {Boundary controllability for a coupled system of degenerate/singular parabolic equations},
author = {Brahim Allal and Abdelkarim Hajjaj and Jawad Salhi and Amine Sbai},
journal= {arXiv preprint arXiv:2104.00610},
year = {2021}
}
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26 pages