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Bang-bang property for time optimal control of semilinear heat equation

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.
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Submitted on : Wednesday, July 17, 2013 - 4:53:41 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:05 PM
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Kim Dang Phung, Lijuan Wang, Can Zhang. Bang-bang property for time optimal control of semilinear heat equation. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2014, pp.477-499. ⟨10.1016/j.anihpc.2013.04.005⟩. ⟨hal-00845777⟩



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