@article{10902/17482,
year = {2019},
url = {http://hdl.handle.net/10902/17482},
abstract = {In this paper, we analyze optimal control problems of semilinear parabolic equations, where the controls are distributed and depend only on time. Box constraints for the controls are imposed and the cost functional does not involve the control itself, only the associated state. We prove second order optimality conditions for local strong minimizers, which are used to derive error estimates in the numerical approximation. First we estimate the difference between the discrete and continuous optimal states. In the last part, under an additional assumption on the optimal adjoint state, we prove error estimates for the controls and improve the estimates for the states.},
organization = {The first two authors were partially supported by the Spanish Ministerio de Economía, Industria y Competitividad through research projects MTM2014-57531-P and MTM2017-83185-P.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2019, 57(4), 2515-2540},
title = {Error estimates for semilinear parabolic control problems in the absence of Tikhonov term},
author = {Casas Rentería, Eduardo and Mateos Alberdi, Mariano and Rösch, Arnd},
}