@article{10902/4884,
year = {2014},
url = {http://hdl.handle.net/10902/4884},
abstract = {An optimal control problem for a semilinear elliptic partial differential equation is discussed subject to pointwise control constraints on the control and the state. The main novelty of the paper is the presence of the L1-norm of the control as part of the objective functional that eventually leads to sparsity of the optimal control functions. Second-order sufficient optimality conditions are analyzed. They are applied to show the convergence of optimal solutions for vanishing L2-regularization parameter for the control. The associated convergence rate is estimated.},
organization = {This author was supported by Spanish Ministerio de Economía y Competitividad under project
MTM2011-22711.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2014, 52(2), 1010–1033},
title = {Second-order and stability analysis for state-constrained elliptic optimal control problems with sparse controls},
author = {Casas Rentería, Eduardo and Tröltzsch, Fredi},
}