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.
@article{AIHPC_2014__31_3_477_0, 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/} }
TY - JOUR AU - Phung, Kim Dang AU - Wang, Lijuan AU - Zhang, Can TI - Bang-bang property for time optimal control of semilinear heat equation JO - Annales de l'I.H.P. Analyse non linéaire PY - 2014 SP - 477 EP - 499 VL - 31 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpc.2013.04.005/ DO - 10.1016/j.anihpc.2013.04.005 LA - en ID - AIHPC_2014__31_3_477_0 ER -
%0 Journal Article %A Phung, Kim Dang %A Wang, Lijuan %A Zhang, Can %T Bang-bang property for time optimal control of semilinear heat equation %J Annales de l'I.H.P. Analyse non linéaire %D 2014 %P 477-499 %V 31 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpc.2013.04.005/ %R 10.1016/j.anihpc.2013.04.005 %G en %F AIHPC_2014__31_3_477_0
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, Volume 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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