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Bang-bang property for time optimal control of semilinear heat equation |
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| Authors: | Kim Dang Phung Lijuan Wang Can Zhang |
| Affiliation: | 1. Université d''Orléans, Laboratoire MAPMO, CNRS UMR 7349, Fédération Denis Poisson, FR CNRS 2964, Bâtiment de Mathématiques, B.P. 6759, 45067 Orléans Cedex 2, France;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
| Abstract: | This paper studies the bang-bang property for time optimal controls governed by semilinear heat equation in a bounded domain with control acting locally in a subset. Also, we present the null controllability cost for semilinear heat equation and an observability estimate from a positive measurable set in time for the linear heat equation with potential. |
| Keywords: | Semilinear heat equation Time optimal control Bang-bang property Observability estimate from measurable sets |
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