@article{10902/35479,
year = {2025},
month = {2},
url = {https://hdl.handle.net/10902/35479},
abstract = {In this paper, we carry out the analysis of the semismooth Newton method for control constrained bilinear control problems of semilinear elliptic PDEs. We prove existence, uniqueness and regularity for the solution of the state equation, as well as differentia bility properties of the control to state mapping. Then, first and second order optimality conditions are obtained. Finally, we prove the superlinear convergence of the semis mooth Newton method to local solutions satisfying no-gap second order sufficient optimality conditions as well as a strict complementarity condition.},
organization = {The first and third authors were supported by MCIN/ AEI/10.13039/501100011033/ under research
projects PID2020-114837GB-I00 and PID2023-147610NB-I00. The second author was supported by the
Hellenic Foundation for Research and Innovation (H.F.R.I.) under the “First Call for H.F.R.I. Research
Projects to support Faculty members and Researchers and the procurement of high-cost research
equipment grant” (Project Number: 3270).},
publisher = {Springer New York LLC},
publisher = {Numerische Mathematik, 2025, 157(1), 143-163},
title = {Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method},
author = {Casas Rentería, Eduardo and Chrysafinos, Konstantinos and Mateos Alberdi, Mariano},
}