%0 Journal Article
%T SUFFICIENT OPTIMALITY CONDITIONS FOR THE MOREAU-YOSIDA TYPE REGULARIZATION CONCEPT APPLIED TO SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS WITH POINTWISE STATE CONSTRAINTS
%A Klaus Krumbiegel
%A Ira Neitzel
%A Arnd R£¿sch
%J Mathematics and its Applications : Annals of the Academy of Romanian Scientists
%D 2011
%I Academy of Romanian Scientists Publishing House
%X We develop sufficient optimality conditions for a Moreau-Yosidaregularized optimal control problem governed by a semilinear ellipticPDE with pointwise constraints on the state and the control. We makeuse of the equivalence of a setting of Moreau-Yosida regularization to a special setting of the virtual control concept,for which standard second order sufficient conditions have been shown. Moreover, we present a numerical example,solving a Moreau-Yosida regularized model problem with an SQP method.
%K Optimal control
%K semilinear elliptic equation
%K state constraints
%K regularization
%K Moreau-Yosida approximation
%K virtual control
%K sufficient optimality conditions
%U http://www.mathematics-and-its-applications.com/preview/january2011/data/5_krumbiegel.pdf