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Main Title: Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise state constraints
Author(s): Rösch, Arnd
Tröltzsch, Fredi
Type: Research Paper
Abstract: An optimal control problem for a semilinear parabolic equation is investigated, where pointwise constraints are given on the control and the state. The state constraints are of mixed (bottleneck) type, where associated Lagrange multipliers can assumed to be bounded and measurable functions. Based on this property, a second-order sufficient optimality condition is established that considers strongly active constraints.
Subject(s): optimal control
heat equation
parabolic differential equation
sufficient second-order optimality condition
pointwise mixed control-state constraints
bottleneck constraints
Issue Date: 26-Feb-2002
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49K20 Problems involving partial differential equations
90C48 Programming in abstract spaces
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2002, 733
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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