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...
Equazioni paraboliche quasilineari con diffusione di segno variabile appaiono in importanti contesti applicativi (transizioni di fase, trattamento di immagini, dinamica di popolazioni, oceanografia). ...
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...
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...
In this talk we are interested in asymptotic behavior of singularly perturbedcontrol system in the non-periodic setting. More precisely, we consider the value function of finite horizon optimal contro...
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...
I will present a variational time discretization for the multi-dimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each timestep requires the minimiz...
Steiner symmetrization is a very useful tool in the study of isoperimetric inequality. This is also due to the fact that the perimeter of a set is less or equal than the perimeter of its Steiner symme...
Nel seminario presentiamo un nuovo schema semi-lagrangiano per l'operatore infinito laplaciano. Nella prima parte richiameremo alcuni teoremi noti in letteratura: esistenza, unicità e principio del co...
In the seminar we present some results on numerical approximation of macroscopic models arising in biology. In the first part we consider parabolic and quasilinear hyperbolic models of chemotaxis, whi...
