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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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. |
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DOI: | 10.48550/arxiv.1510.03673 |