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Main Title: Optimal boundary control of a system of semilinear parabolic equations
Author(s): Barthel, Werner
John, Christian
Tröltzsch, Fredi
Type: Research Paper
Abstract: In this work, boundary control problems governed by a system of semilinear parabolic PDEs with pointwise control constraints are considered. This class of problems is related to applications in the chemical catalysis. After discussing existence and uniqueness of the state equation with both linear and nonlinear boundary conditions, the existence of an optimal solution is shown. Necessary and sufficient optimality conditions are derived to deal with numerical examples, which conclude the paper.
Subject(s): optimal boundary control
semilinear parabolic system
necessary optimality conditions
sufficient optimality conditions
Issue Date: 25-Jul-2008
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49J20 Optimal control problems involving partial differential equations
35K57 Reaction-diffusion equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2008, 28
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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