| Issue |
ESAIM: COCV
Volume 19, Number 2, April-June 2013
|
|
|---|---|---|
| Page(s) | 317 - 336 | |
| DOI | https://doi.org/10.1051/cocv/2012010 | |
| Published online | 21 June 2012 | |
On time optimal control of the wave equation, its regularization and optimality system∗
1
Institute for Mathematics and Scientific Computing,
Heinrichstraße 36, 8010
Graz,
Austria
karl.kunisch@uni-graz.at; http://www.kfunigraz.ac.at/imawww/kunisch
2
Johann Radon Institute for Computational and Applied Mathematics
(RICAM), Austrian Academy of Sciences, Altenbergerstraße 69, 4040
Linz,
Austria
daniel.wachsmuth@oeaw.ac.at; http://www.ricam.oeaw.ac.at/people/page/wachsmuth
Received: 20 March 2012
Revised: 23 February 2012
An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.
Mathematics Subject Classification: 49K20 / 93C20 / 35L05
Key words: Time optimal control / wave equation / optimality condition / transversality condition
© EDP Sciences, SMAI, 2012
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