The talk is divided into two parts. In the first, introductory part the (generalized) Nash equilibrium problem is presented and an overview of recent results related to their numerical solution is dis...
Una recente teoria KAM debole di Evans permette un confronto asintotico fra dinamiche quasi-periodiche e i moti di sistemi hamiltoniani, senza restrizioni di tipo algebrico sulle frequenze. La teoria ...
We will present a relatively new approach to differential inclusion theory that is "parametrization-free". That is, results in control theory will be described under assumptions on the Hamiltonian (an...
La nozione di sistema di controllo ibrido è stata proposta in tempi relativamente recenti per dare un quadro unificato a molti sistemi di controllo di forte interesse applicativo, caratterizzati dal f...
We discuss issues concerning the numerical approximation of optimal control problems where the dynamics are governed by partial differential equations. We focus on the linear quadratic case with infin...
The talk is concerned with the analysis of a new variational model to restore point-like and curve-like singularities in biological or biomedical images. To this aim we investigate the variational pro...
In order to understand self-organized aggregation of German cockroaches which possess aggregation pheromone, we propose an individual-based model where each individual with social interaction moves by...
We propose an explicit finite volume numerical scheme for a system of partial differential equations proposed in by K. P. Hadeler and C. Kuttler, a model for growing sandpiles under a vertical source ...
After an introduction on partial differential equations (PDEs), I will visit some classic and modern problems in Computer Vision that are formulated using hyperbolic PDEs. Specifically, these are shap...
Presenterò uno schema Semi-Lagrangiano per il moto per curvatura media. L'approssimazione si ottiene accoppiando un metodo stocastico per l'approssimazione delle caratteristiche, da intendersi in modo...
Is it possible to compute effectively the minimal value of a multivariate function without computing its derivative? The general answer is "No", unless the function is convex. For convex functions one...
I teoremi adiabatici sono stati recentemente utilizzati in alcuni risultati di controllabilità quantistica. Dopo aver introdotto brevemente i metodi adiabatici (in particolare i teoremi di Kato e di N...
