TY - GEN A1 - Tröltzsch, Fredi A1 - Nicaise, Serge T1 - Optimal control of some quasilinear Maxwell equations of parabolic type N2 - 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. KW - Evolution Maxwell equations KW - parabolic equation KW - quasilinear equation KW - vector potential formulation KW - optimal control Y1 - 2017 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1407 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-14074 ER -