Controllability of a system of degenerate parabolic equations with non-diagonalizable diffusion matrix

Hassi El Mustapha Ait Ben; Fadili Mohamed; Maniar Lahcen

doi:10.3934/mcrf.2020013

Article Contents

2020, Volume 10, Issue 3: 623-642. Doi: 10.3934/mcrf.2020013

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Controllability of a system of degenerate parabolic equations with non-diagonalizable diffusion matrix

Département de Mathématiques, Faculté des Sciences Semlalia, LMDP, UMMISCO (IRD-UPMC), Université Cadi Ayyad, Marrakech, 40000, B.P 2390, Morocco

^* Corresponding author: fadilimed@live.fr
^* Corresponding author: fadilimed@live.fr

Received: September 30, 2018

Revised: April 30, 2019

Early access: December 2019

Published: July 2020

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Abstract

In this paper we study the null controllability of some non diagonalizable degenerate parabolic systems of PDEs, we assume that the diffusion, coupling and controls matrices are constant and we characterize the null controllability by an algebraic condition so called Kalman's rank condition.

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Mathematics Subject Classification: Primary: 35K20, 35K65, 47D06; Secondary: 93B05, 93B07.

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