Boundary controllability for a coupled system of degenerate/singular parabolic equations

Brahim Allal; Abdelkarim Hajjaj; Jawad Salhi; Amine Sbai

doi:10.3934/eect.2021055

Article Contents

2022, Volume 11, Issue 5: 1579-1604. Doi: 10.3934/eect.2021055

This issue Previous Article Robustness of global attractors: Abstract framework and application to dissipative wave equations Next Article A special form of solution to half-wave equations

Boundary controllability for a coupled system of degenerate/singular parabolic equations

1.
Hassan First University of Settat, Faculté des Sciences et Techniques, MISI Laboratory, B.P. 577, Settat 26000, Morocco
2.
Moulay Ismail University of Meknes, FST Errachidia, MAIS Laboratory, MAMCS Group, P.O. Box 509, Boutalamine 52000, Errachidia, Morocco

^* Corresponding author: Amine Sbai
^* Corresponding author: Amine Sbai

Received: March 31, 2021

Early access: October 2021

Published: October 2022

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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 a detailed spectral analysis and the use of the moment method by Fattorini and Russell together with some results on biorthogonal families.

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Mathematics Subject Classification: 93B05, 93C05, 35K65, 93B60.

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