We study the theory of Scattering in the energy space for various nonlinear Schr?dinger equations. In dimension 3 or bigger we consider a variable coefficients equation, for a gauge invariant, defocus...
In this talk, I will present the concentration profile of various kind of symmetric solutions of some semilinear elliptic problems arising in astrophysics and in diffusion phenomena. Motivated by thes...
Abstract: A beam of light is characterized by the following local properties: intensity, phase, and polarization. In most practical cases, these optical properties are either uniform or varying in spa...
(seminario rivolto prevalentemente ai docenti delle Superiori; i docenti sono invitati a portare un generatore di numeri casuali; spesso è disponibile anche nei cellulari)...
I will present and discuss some results and problems about flows of metrics on Riemannian manifolds correlated to Ricci flow: - The "renormalization group" flow, truncated at the second order term. Th...
We introduce a new class of "filtered" schemes for some first order nonlinear Hamilton-Jacobi-Bellman equations. The work follows recent ideas of Froese and Oberman (SIAM J. Numer. Anal., Vol 51, pp.4...
Equazioni paraboliche quasilineari con diffusione di segno variabile appaiono in importanti contesti applicativi (transizioni di fase, trattamento di immagini, dinamica di popolazioni, oceanografia). ...
E' in arrivo una nuova rivoluzione industriale? Molti esperti credono di si. Le stampanti 3D di nuova generazione permettono - con un investimento minimo - di creare o replicare qualsiasi piccolo ogge...
Studies of non-equilibrium fluctuations have held a center stage during the past few decades of the development of non-equilibrium statistical mechanics. Indeed, macroscopic fluctuations are supposed ...
In this talk we present a LWR-like model for traffic flow on networks which allows one to track several groups of drivers, each of them being characterized only by their destination in the network. Th...
We study optimal embeddings for the space of functions whose Laplacian belongs to L1(Ω), where Ω⊂RN is a bounded domain. This function space turns out to be strictly larger than the Sobolev space W2,1...
