Title: Continuous Dependence on Domains of Optimal Control for Parabolic Pointwise Control System *
Abstract: This paper deals with the optimal control problem of parabolic pointwise control system under perturbation of domains. Based on the perturbation theory of Sobolev spaces with time variable, we first establishes the continuous dependence on perturbed domains of the solution of parabolic differential equation with pointwise input. Then it is shown that the optimal control of parabolic pointwise control system depends continuously on domains of definition in a sense.