30 citations · 62 across the 14 of their papers we have counts for
13 papers · 1 filter
Bilinear control of semilinear elliptic PDEs: Convergence of a semismooth Newton method
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
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 regul…
New assumptions for stability analysis in elliptic optimal control problems
Eduardo Casas, Alberto Domínguez Corella, Nicolai Jork
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…
A Note on Existence of Solutions to Control Problems of Semilinear Partial Differential Equations
Eduardo Casas, Daniel Wachsmuth
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 consid…
Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations
Eduardo Casas, Karl Kunisch
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 ti…
Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space
Eduardo Casas, Karl Kunisch
This work concentrates on a class of optimal control problems for semilinear parabolic equations subject to control constraint of the form for $t \in (0,T…
Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls
Eduardo Casas, Karl Kunisch
In this paper, we consider an optimal control problem for the two-dimensional evolutionary Navier-Stokes system. Looking for sparsity, we take controls as functions of time taking…