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

2021/04/01 by Allal, Brahim, Hajjaj, Abdelkarim, Salhi, Jawad +1
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2104.00610

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.

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