TY - GEN A1 - Colli, Pierluigi A1 - Gilardi, Gianni A1 - Podio-Guidugli, Paolo A1 - Sprekels, Jürgen T1 - Distributed optimal control of a nonstandard system of phase field equations N2 - We investigate a distributed optimal control problem for a phase field model of Cahn-Hilliard type. The model describes two-species phase segregation on an atomic lattice under the presence of diffusion; it has been introduced recently in [4], on the basis of the theory developed in [15], and consists of a system of two highly nonlinearly coupled PDEs. For this reason, standard arguments of optimal control theory do not apply directly, although the control constraints and the cost functional are of standard type. We show that the problem admits a solution, and we derive the first-order necessary conditions of optimality. KW - distributed optimal control KW - nonlinear phase field systems KW - first-order necessary optimality conditions Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1069 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-10698 ER -