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Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions

Please always quote using this URN:urn:nbn:de:0296-matheon-1726
  • We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. The problem arises from the aim to optimize the temperature gradient within crystal growth by the physical vapor transport (PVT) method. Based on a minimum principle for the semilinear equation as well as L1-estimates for the weak solution, we establish the existence of an optimal solution as well as necessary optimality conditions. The theoretical results are illustrated by results of numerical computations.

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Metadaten
Author:Christian Meyer, Peter Philip, Fredi Tröltzsch
URN:urn:nbn:de:0296-matheon-1726
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/12/11
Release Date:2004/10/27
Preprint Number:170
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