Zobrazeno 1 - 10
of 628
pro vyhledávání: '"Casas, Eduardo"'
This paper studies an optimal control problem governed by a semilinear elliptic equation, in which the control acts in a multiplicative or bilinear way as the reaction coefficient of the equation. We focus on the numerical discretization of the probl
Externí odkaz:
http://arxiv.org/abs/2404.05658
Publikováno v:
IEEE Control Systems Letters, 7 (2023) 3549--3554
We study a control-constrained optimal control problem governed by a semilinear elliptic equation. The control acts in a bilinear way on the boundary, and can be interpreted as a heat transfer coefficient. A detailed study of the state equation is pe
Externí odkaz:
http://arxiv.org/abs/2403.01135
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
Externí odkaz:
http://arxiv.org/abs/2401.17621
In this paper, we carry out the analysis of the semismooth Newton method for bilinear control problems related to semilinear elliptic PDEs. We prove existence, uniqueness and regularity for the solution of the state equation, as well as differentiabi
Externí odkaz:
http://arxiv.org/abs/2309.07554
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
Externí odkaz:
http://arxiv.org/abs/2205.03813
Autor:
Casas, Eduardo, Wachsmuth, Daniel
In this paper, we study optimal control problems of semilinear elliptic and parabolic equations. A tracking cost functional, quadratic in the control and state variables, is considered. No control constraints are imposed. We prove that the correspond
Externí odkaz:
http://arxiv.org/abs/2203.12996
Autor:
Menghwar, Harish, Tatum, Fred M., Briggs, Robert E., Kanipe, Carly, Casas, Eduardo, Kaptur, Jean, Kaplan, Bryan S., Inzana, Thomas J., Azadi, Parastoo, Dassanayake, Rohana P.
Publikováno v:
In Microbial Pathogenesis September 2024 194
Autor:
Casas, Eduardo, Kunisch, Karl
Infinite horizon open loop optimal control problems for semilinear parabolic equations are investigated. The controls are subject to a cost-functional which promotes sparsity in time. The focus is put on deriving first order optimality conditions. Th
Externí odkaz:
http://arxiv.org/abs/2112.06535
Autor:
Casas, Eduardo, Kunisch, Karl
This work concentrates on a class of optimal control problems for semilinear parabolic equations subject to control constraint of the form $\|u(t)\|_{L^1(\Omega)} \le \gamma$ for $t \in (0,T)$. This limits the total control that can be applied to the
Externí odkaz:
http://arxiv.org/abs/2112.01359
Autor:
Kaufhold, Dorthe, Maristany de las Casas, Eduardo, Ocaña-Fernández, María Del Ángel, Cazala, Aurore, Yuan, Mei, Kulik, Akos, Cholvin, Thibault, Steup, Stefanie, Sauer, Jonas-Frederic, Eyre, Mark D., Elgueta, Claudio, Strüber, Michael, Bartos, Marlene
Publikováno v:
In Cell Reports 26 March 2024 43(3)