@article{10902/29304,
year = {2023},
month = {6},
url = {https://hdl.handle.net/10902/29304},
abstract = {This paper is dedicated to the stability analysis of the optimal solutions of a control problem associated with a semilinear elliptic equation. The linear differential operator of the equation is neither monotone nor coercive due to the presence of a convection term. The control appears only linearly, or may not even appear explicitly in the objective functional. Under new assumptions, we prove Lipschitz stability of the optimal controls and associated states with respect to not only perturbations in the equation and the objective functional but also the Tikhonov regularization parameter.},
organization = {The  first  author  was  supported  by  MCIN/AEI/10.13039/501100011033/  under  re-search project PID2020-114837GB-I00.  The second and third authors were supported by the Aus-trian Science Foundation (FWF) under grant I4571},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2023, 61(3), 1394 -1414},
title = {New assumptions for stability analysis in elliptic optimal control problems},
author = {Casas Rentería, Eduardo and Domínguez Corella, Alberto and Jork, Nicolai},
}