@article{10902/25675,
year = {2022},
url = {http://hdl.handle.net/10902/25675},
abstract = {Infinite horizon open loop optimal control problems for semilinear parabolic equations are investigated. The controls are subject to a cost functional which promotes sparsity in time. The focus is put on deriving first order optimality conditions. This is achieved without relying on a well-defined control-to-state mapping in a neighborhood of minimizers. The technique of proof is based on the approximation of the original problem by a family of finite horizon problems. The optimality conditions allow deduction of sparsity properties of the optimal controls in time.},
organization = {The first author was supported by MCIN/ AEI/10.13039/501100011033/ under research project PID2020-114837GB-I00. The second was supported by the ERC advanced grant 668998 (OCLOC) under the EU's H2020 research program.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2022, 60(4), 2070-2094},
title = {Infinite horizon optimal control problems for a class of semilinear parabolic equations},
author = {Casas Rentería, Eduardo and Kunisch, Karl},
}