5 citations · 7 across the 3 of their papers we have counts for
6 papers
Second-Order Conditions for Infinite-Horizon Semilinear Parabolic Control Problems without Tikhonov Regularization
Eduardo Casas, Nicolai Jork
We consider semilinear parabolic optimal control problems subject to Neumann boundary conditions, control constraints, and an infinite time horizon. The control constraints are poi…
Quadratic convergence of an SQP method for some optimization problems with applications to control theory
Eduardo Casas, Mariano Mateos
We analyze a sequential quadratic programming algorithm for solving a class of abstract optimization problems. Assuming that the initial point is in an neighborhood of a loca…
Boundary bilinear control of semilinear parabolic PDEs: quadratic convergence of the SQP method
Eduardo Casas, Mariano Mateos
We analyze a bilinear control problem governed by a semilinear parabolic equation. The control variable is the Robin coefficient on the boundary. First-order necessary and second-o…
Error estimates for the discretization of bilinear control problems governed by semilinear elliptic PDEs
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
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…
Semismooth Newton Method for Boundary Bilinear Control
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
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 h…
New second order sufficient optimality conditions for state constrained parabolic control problems
Eduardo Casas, Mariano Mateos, Arnd Rösch
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 sec…