@article{10902/36381, year = {2025}, month = {5}, url = {https://hdl.handle.net/10902/36381}, abstract = {We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the sense of L2(Q). Our results are valid for spatial domains of dimension less than or equal to three.}, organization = {The firrst and second authors were partially supported by MCIN/ AEI/10.13039/501100011033 under research project PID2020-114837GB-I00.}, publisher = {Taylor and Francis Ltd.}, publisher = {Optimization, 2025, 74(7), 1551-1571}, title = {New second order sufficient optimality conditions for state constrained parabolic control problems}, author = {Casas Rentería, Eduardo and Mateos Alberdi, Mariano and Rösch, Arnd}, }