Equivalence of minimal time and minimal norm control problems for semilinear heat equations

Abstract

In this paper, we establish the equivalence of minimal time and minimal norm control problems for semilinear heat equations in which the controls are distributed internally in an open subset of the state domain. As an application, the Bang-Bang property for minimal norm controls are also presented.

arXiv comment16 pages

References in corpus (1)

• Two equivalence theorems of different kinds of optimal control problems for Schrödinger equations