Optimization problems for elliptic PDEs
Optimization and Control
2026-01-06 v1
Abstract
In this paper we consider some optimal control problems governed by elliptic partial differential equations. The solution is the state variable, while the control variable is, depending on the case, the coefficient of the PDE, the potential, the right-hand side. The cost functional is of integral type and involves both the state and control variables.
Cite
@article{arxiv.2601.01591,
title = {Optimization problems for elliptic PDEs},
author = {Giuseppe Buttazzo and Juan Casado-Díaz and Faustino Maestre},
journal= {arXiv preprint arXiv:2601.01591},
year = {2026}
}
Comments
19 pages, 8 figures