Controllability to trajectories for some  parabolic systems of three and two equations by one control force

Assia Benabdallah; Michel Cristofol; Patricia Gaitan; Luz de Teresa

doi:10.3934/mcrf.2014.4.17

Article Contents

2014, Volume 4, Issue 1: 17-44. Doi: 10.3934/mcrf.2014.4.17

This issue Previous Article Null controllability of retarded parabolic equations Next Article Control of a Korteweg-de Vries equation: A tutorial

Controllability to trajectories for some parabolic systems of three and two equations by one control force

1.
Aix-Marseille University, LATP UMR 7353
2.
Aix-Marseille University, CPT UMR 7332
3.
Instituto de Matemáticas, Universidad Nacional Autónoma de México

Received: April 30, 2012

Revised: October 31, 2012

Published: February 2014

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Abstract

We present a controllability result for a class of linear parabolic systems of $3$ equations. We establish a global Carleman estimate for the solutions of systems of $2$ parabolic equations coupled with first order terms. Stability results for inverse coefficients problems are deduced.

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Mathematics Subject Classification: Primary: 93B05, 93B07, 35K05; Secondary: 35K55, 35R30.

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