Well-posedness of boundary feedback systems with unbounded feedback operator

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.