Regularity of an Euler-Bernoulli Equation with Neumann Control and Collocated Observation

Abstract.This paper studies the regularity of an Euler-Bernoulli plate equation on a bounded domain of ℝn, n ≥ 2, with partial Neumann control and collocated observation. It is shown that the system is not only well posed in the sense of D. Salamon but also regular in the sense of G. Weiss. It is also shown that the corresponding feedthrough operator is zero.

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