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Optimal control of linear bottleneck problems

Published online by Cambridge University Press:  15 August 2002

M. Bergounioux
Affiliation:
F. Troeltzsch
Affiliation:
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Abstract

The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the basic questions of controltheory. Here, we investigate bottleneck problems arising from optimal control problems for PDEs with certain mixed control-stateinequality constraints. We show how to obtain Lagrange multipliers in Lp spaces for linear problems and give an application to linearparabolic optimal control problems.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 1998

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