Bang-Bang Property of Time Optimal Null Controls for Some Semilinear Heat Equation

Abstract

In this paper, we derive a bang-bang property of a kind of time optimal control problem for some semilinear heat equation on bounded C2 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. 
DOI: 10.1137/140997452

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