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Session

OC1: Optimisation and Control Location: A702 Session Chair: Behzad Azmi

Presentation 1

Optimal control of a non-wellposed semi-linear elliptic equation Boris Vexler Technical University of Munich, Germany In this talk we discuss an optimal control problem with a quadratic cost functional, which is governed by a semi-linear elliptic equation with a non-monotone nonlinearity. Although the state equation as well as its linearization are in general not wellposed, we provide existence results and derive optimality conditions for the optimal control problem. The theory includes localized controls and provides an optimality system in the qualified form. The existence of an adjoint state is given in a constructive way suitable for an algorithmic approach.