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.
Author: | Christian Meyer, Peter Philip, Fredi Tröltzsch |
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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 |