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

Phung, Kim Dang; Wang, Lijuan; Zhang, Can

doi:10.1016/j.anihpc.2013.04.005

Phung, Kim Dang ; Wang, Lijuan ; Zhang, Can

Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 3, pp. 477-499.

Résumé

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.

MR Zbl | 2 citations dans Numdam

DOI : 10.1016/j.anihpc.2013.04.005

Mots-clés : Semilinear heat equation, Time optimal control, Bang-bang property, Observability estimate from measurable sets

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     author = {Phung, Kim Dang and Wang, Lijuan and Zhang, Can},
     title = {Bang-bang property for time optimal control of semilinear heat equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {477--499},
     publisher = {Elsevier},
     volume = {31},
     number = {3},
     year = {2014},
     doi = {10.1016/j.anihpc.2013.04.005},
     mrnumber = {3208451},
     zbl = {1295.49005},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2013.04.005/}
}

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Phung, Kim Dang; Wang, Lijuan; Zhang, Can. Bang-bang property for time optimal control of semilinear heat equation. Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 3, pp. 477-499. doi : 10.1016/j.anihpc.2013.04.005. http://archive.numdam.org/articles/10.1016/j.anihpc.2013.04.005/

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