Contrôlabilité exacte pour des domaines minces

Abstract

In studying the limit behavior of the operator defined by the method HUM for the exact controllability of hyperbolic systems on a thin domain Ω×(0,ε) in Rⁿ⁺¹, we observe that as ε goes to zero, this operator will not tend to the corresponding operator defined by HUM on the domain Ω in Rⁿ. We make a correction for the operator on the thin domain so as to get the desired limit behavior.