Null controllability of a highly coupled fourth-order parabolic system with one internal control
Résumé
Controlling systems of partial differential equations with fewer controls than states has been a central topic in the last decades. The nature of the equations and existing couplings are key factors to consider. Even if we can find several works for parabolic systems, there are only a few for fourth-order equations. In this paper, we use the fictitious control method and the algebraic resolution method, as introduced by Coron and Lissy, in order to prove the null controllability of a highly coupled fourth-order parabolic system with only one control input.
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