We deal with a mathematical model of binary statistical experiments, based on statistical data, for the validation of the elementary hypothesis about the presence or absence of a predefined attribute ...
We establish trace Hardy and trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for domains satisfying suitable geometric assumptions such as mean convexity or convexity. We then use t...
The stochastic quantization equation is a simple model for the kind of problems linked to locality and non-triviality of quantum field theories. In this talk we review recent advances in undestanding ...
In this talk, I will discuss some questions related to the nonlinear theory of electromagnetism formulated by Born and Infeld in 1934. I will discuss the link between this theory and the curvature ope...
I will consider a metastable diffusion moving in a multiwell potential on the rescaled n-dimensional integer lattice. From a purely spectral point of view metastability effects correspond to the prese...
In this talk an a-posteriori error analysis for optimal control problems is discussed. In particular, the error analysis is applied to reduced-order Galerkin approximations for the optimal control pro...
The term "resource curse phenomenon" refers to countries with an abundance of natural resources, in particular nonrenewable ones such as minerals or fuels, that tend to have less economic growth and w...
Given a Borel A in \mathbb{R}^n of positive measure, one can consider its semisum S=(A+A)/2. It is clear that S contains A, and it is not difficult to prove that they have the same measure if and only...
We consider various examples of critical nonlinear partial differential equations which have the following common features: they are Hamiltonian, of dispersive nature, have a conservation law invarian...
In un recente lavoro, Ambrosio, Frid e Silva studiano un problema di omogeneizzazione per una classe di equazioni di tipo porous medium in cui la funzione flusso è un processo stocastico stazionario s...
Il modello quasi-geostrofico è uno tra i piè semplici modelli volto alla descrizione della circolazione atmosferica per i flussi a larga scala extra-tropicali (scale sinottiche). Presenterò il modello...
In questo seminario discuterò alcuni risultati ottenuti in collaborazione con Vladimir Maz'ya. Questi riguardano la dissipatività negli spazi L^{p} (1 < p < +\infty ), degli operatori differenzi...
