@misc{SchielaWollner, author = {Schiela, Anton and Wollner, Winnifried}, title = {Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient Constraints}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-11014}, number = {08-47}, abstract = {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.}, language = {en} }