New second order sufficient optimality conditions for state constrained parabolic control problems
Optimization and Control
2024-03-04 v2
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 . Our results are valid for spatial domains of dimension less than or equal to three.
Cite
@article{arxiv.2401.17621,
title = {New second order sufficient optimality conditions for state constrained parabolic control problems},
author = {Eduardo Casas and Mariano Mateos and Arnd Rösch},
journal= {arXiv preprint arXiv:2401.17621},
year = {2024}
}