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Annals of the Academy of Romanian Scientists Series on Mathematics and its Applications
This article surveys recent results regarding the existence of weak solutions to quasilinear partial dierential equations (PDE) coupled nonlocally by the integral operator of the radiosity equation, modeling conductive-radiative heat transfer. Both the stationary and the transient case are considered. For the stationary case, an optimal control problem with control constraints is presented with rst-order necessary optimality conditions, where recent results on the solution theory of thefatcat:xijmorqnwnct5lk4hmyy5vjcuq