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...
Abstract: Chiral surfaces, obtained through self-assembling of chiral molecules on achiral metallic surfaces, represent a relevant subject for technologically important issues in many fields, like sur...
We derive optimal order a posteriori error bounds for a fully discrete Crank-Nicolson finite element scheme for linear Schroedinger equations. The derivation of the estimators is based on the reconstr...
Lower curvature bounds play an important role in the study of singular spaces. In 2005 Lott, Sturm and Villani presented a synthetic definition in terms of Optimal Transportation of a metric space end...
In this talk we address the solution of quasilinear elliptic problems of monotone type by using the Mimetic Finite Difference (MFD) method. Under a suitable approximation assumption, we prove that the...
I will study a nonlinear heat equation with a periodic timeoscillating term in factor of the nonlinearity. In particular, I will give examples showing how the behavior of the solution can drastically ...
We study a discounted infinite horizon control problem in a stratified setting. We write down an appropriate Hamilton-Jacobi-Bellman equation and prove a comparison principle implying that the value f...
I will first give two (similar) ways for proving the existence of a weak solution for the compressible (stationary) stokes problem : passing to the limit using (in particular) a viscous approximation ...
