Bang-bang property of time optimal controls for some semilinear heat equation

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 non-empty subset of the domain where the...

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Hauptverfasser: Wang, Lijuan, Yan, Qishu
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Sprache:eng
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Zusammenfassung: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 non-empty subset of the domain where the equation evolves.
DOI:10.48550/arxiv.1510.03673