Well-posedness of boundary feedback systems with unbounded feedback operator

Abstract

In this paper, it is proved that under some regular conditions, abstract boundary feedback systems with unbounded feedback operator are well-posed. The proof is based on the authors' recent paper [Z.D. Mei, J.G. Peng, Proceedings of the American Mathematical Society, 138 (2010), 4455-4468]. As an application, the Euler-Bernoulli plate with partial boundary Neumann feedback operator in the dynamic boundary is studied.