TY - GEN A1 - Tröltzsch, Fredi T1 - Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints N2 - A class of quadratic optimization problems in Hilbert spaces is considered, where pointwise box constraints and constraints of bottleneck type are given. The main focus is to prove the existence of regular Lagrange multipliers in L2-spaces. This question is solved by investigating the solvability of a Lagrange dual quadratic problem. The theory is applied to different optimal control problems for elliptic and parabolic partial differential equations with mixed pointwise control-state constraints. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/72 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-722 ER -