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Optimal control of some quasilinear Maxwell equations of parabolic type

Abstract : 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 Gateaux-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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Submitted on : Thursday, March 11, 2021 - 10:19:41 AM
Last modification on : Friday, January 7, 2022 - 3:56:02 AM

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Serge Nicaise, Fredi Tröltzsch. Optimal control of some quasilinear Maxwell equations of parabolic type. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2017, 10 (6), pp.1375-1391. ⟨10.3934/dcdss.2017073⟩. ⟨hal-03166140⟩

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