TY - GEN A1 - Schiela, Anton A1 - Wollner, Winnifried T1 - Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient Constraints N2 - In this paper we are concerned with the application of interior point methods in function space to gradient constrained optimal control problems, governed by partial differential equations. We will derive existence of solutions together with first order optimality conditions. Afterwards we show continuity of the central path, together with convergence rates depending on the interior point parameter. KW - interior point method KW - necessary optimality conditions KW - convergence of the central path KW - gradient constrained optimization Y1 - 2009 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/554 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-5541 ER -