BANG-BANG PROPERTY OF TIME OPTIMAL NULL CONTROLS FOR SOME SEMILINEAR HEAT EQUATION

摘要

In this paper, we derive a bang-bang property of a kind of time optimal control problem for some semilinear heat equation on bounded C-2 domains (of the Euclidean space), with homogeneous Dirichlet boundary condition and controls distributed on an open and nonempty subset of the domain where the equation evolves.