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...
Let us consider the linear Schroedinger equation on the torus with a time dependent Gevrey potential. We shall show that the H^s norm of the solution grows at most logarithmically. This extend the res...
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...
L'analisi dell' equazione di Liouville con dati singolari suggerisce naturalmentre lo studio di una disuguaglianza di tipo Moser-Trudinger con peso. Dopo una introduzione al problema e alle sue motiva...
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...
We consider critical and supercritical Liouville equations on surfaces and on domains of \mathbb{R}^2 under Dirichlet boundary conditions. Using some tools of the "critical point theory at Infinity" o...
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 ...
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...
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...
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...
