TY - GEN A1 - Meyer, Christian A1 - Philip, Peter A1 - Tröltzsch, Fredi T1 - Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions N2 - We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. The problem arises from the aim to optimize the temperature gradient within crystal growth by the physical vapor transport (PVT) method. Based on a minimum principle for the semilinear equation as well as L1-estimates for the weak solution, we establish the existence of an optimal solution as well as necessary optimality conditions. The theoretical results are illustrated by results of numerical computations. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/172 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1726 ER -