Optimal control of some quasilinear Maxwell equations of parabolic type
Please always quote using this URN:urn:nbn:de:0296-matheon-14074
- An optimal control problem is studied for a quasilinear Maxwell equation of nondegenerate parabolic type. Well-posedness of the quasilinear state equation, existence of an optimal control, and weak G\^ateaux-differentiability of the control-to-state mapping are proved. Based on these results, first-order necessary optimality conditions and an associated adjoint calculus are derived.
Author: | Fredi Tröltzsch, Serge Nicaise |
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URN: | urn:nbn:de:0296-matheon-14074 |
Referee: | Dietmar Hömberg |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2017/04/24 |
Release Date: | 2017/04/24 |
Tag: | Evolution Maxwell equations; optimal control; parabolic equation; quasilinear equation; vector potential formulation |
Institute: | Technische Universität Berlin |
Project: | D Optics and Electronics (Electronic and photonic devices) / D-SE9 Optimal control of evolution Maxwell equations and low rank approximation |
MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Kxx Optimality conditions / 49K20 Problems involving partial differential equations |
Preprint Number: | 1123 |