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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.

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Metadaten
Author:Fredi Tröltzsch, Serge Nicaise
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
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