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Main Title: A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control
Author(s): Schiela, Anton
Type: Research Paper
Abstract: We present a concise proof for existence and uniqueness of solutions of linear parabolic PDEs. It is based on an analysis of the corresponding differential operator and its adjoint in appropriate spaces and simple enough to be presented in the context of an introductory lecture on optimal control of PDEs. Our approach also clarifies some aspects in the structure of first order optimality conditions as illustrated at an example.
Subject(s): parabolic PDEs
optimal control
existence theory
Issue Date: 28-Feb-2013
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 35K15 Initial value problems for second-order, parabolic equations
47N20 Applications to differential and integral equations
49K20 Problems involving partial differential equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2013, 03
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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