16 citations · 17 across the 6 of their papers we have counts for
7 papers
A stochastic gradient method for a class of nonlinear PDE-constrained optimal control problems under uncertainty
Caroline Geiersbach, Teresa Scarinci
The study of optimal control problems under uncertainty plays an important role in scientific numerical simulations. This class of optimization problems is strongly utilized in eng…
Stochastic Proximal Gradient Methods for Nonconvex Problems in Hilbert Spaces
Caroline Geiersbach, Teresa Scarinci
For finite-dimensional problems, stochastic approximation methods have long been used to solve stochastic optimization problems. Their application to infinite-dimensional problems…
Partial regularity for solutions to subelliptic eikonal equations
Paolo Albano, Piermarco Cannarsa, Teresa Scarinci
On a bounded domain in euclidean space , we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, whi…
Regularity results for the minimum time function with Hörmander vector fields
Paolo Albano, Piermarco Cannarsa, Teresa Scarinci
In a bounded domain of with smooth boundary, we study the regularity of the viscosity solution, , of the Dirichlet problem for the eikonal equation associated wit…
Conjugate times and regularity of the minimum time function with differential inclusions
Piermarco Cannarsa, Teresa Scarinci
This paper studies the regularity of the minimum time function, , for a control system with a general closed target, taking the state equation in the form of a differenti…
Second-order sensitivity relations and regularity of the value function for Mayer's problem in optimal control
Piermarco Cannarsa, Hélène Frankowska, Teresa Scarinci
This paper investigates the value function, , of a Mayer optimal control problem with the state equation given by a differential inclusion. First, we obtain an invariance proper…
Sensitivity relations for the Mayer problem with differential inclusions
Piermarco Cannarsa, Helene Frankowska, Teresa Scarinci
In optimal control,sensitivity relations are usually understood as inclusions that identify the pair formed by the dual arc and the Hamiltonian, evaluated along the associated mini…