TY - GEN A1 - Meyer, Christian A1 - Rösch, Arnd A1 - Tröltzsch, Fredi T1 - Optimal Control of PDEs with Regularized Pointwise State Constraints N2 - This paper addresses the regularization of pointwise state constraints in optimal control problems. By analyzing the associated dual problem, it is shown that the regularized problems admit Lagrange multipliers in L2-spaces. Under a certain boundedness assumption, the solution of the regularized problem converges to the one of the original state constrained problem. The results of our analysis are confirmed by numerical tests. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/73 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-735 ER -