Open AccessBoundary controllability for a coupled system of degenerate/singular parabolic equations
Author(s) -
Brahim Allal,
Abdelkarim Hajjaj,
Jawad Salhi,
Amine Sbai
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021055
Subject(s) - controllability , biorthogonal system , degenerate energy levels , boundary (topology) , mathematics , mathematical analysis
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 a detailed spectral analysis and the use of the moment method by Fattorini and Russell together with some results on biorthogonal families.