JournalsaihpcVol. 31, No. 3pp. 477–499

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

  • Kim Dang Phung

    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

  • Lijuan Wang

    School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

  • Can Zhang

    School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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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.

Cite this article

Kim Dang Phung, Lijuan Wang, Can Zhang, Bang-bang property for time optimal control of semilinear heat equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 3, pp. 477–499

DOI 10.1016/J.ANIHPC.2013.04.005