The starting point is a paper by L. Boccardo, F. Murat, J.P. Puel, where it is considered the zero Dirichlet boundary value problems associated to nonlinear elliptic equaltions with quadratic dependen...
We will describe recent results on the doubly parabolic Keller-Segel system in the plane, when the initial data belong to critical scaling-invariant Lebesgue spaces. We analyze the global existence of...
Sia A una matrice con tutti gli autovalori distinti. Un problema classico, noto come problema di Wilkinson, è quello di determinare la matrice B piu' vicina ad A, avente un autovalore multiplo difetti...
I will start with brief introduction to the concept of metric regularity and some applications for optimal control problems. Then we focus on linear control systems, where we introduce the notion of b...
This is a survey of old and new necessary and sufficient conditions for validity of various integral inequalities containing arbitrary weights (measures and distributions). These results have direct a...
We shall analyze relative entropy methods in connections with singular limits, both for the hyperbolic-to-hyperbolic and for the hyperbolic-to-parabolic relaxations. For the former case, we recall in ...
In this talk we shall present numerical approximations of unbounded value functions associated to some stochastic control problems. We derive new error estimates for monotone schemes based on Markov c...
In this talk, we will review some known results on the link between reachability analysis and optimal control problems in the deterministic setting. We will show how this link can be used to get a con...
In the last decades the problem of metastability has been attacked on rigorous grounds via many different approaches and techniques which are briefly reviewed in this paper. It is then useful to under...
We review some recent results concerning with the existence of positive solutions of the following problem \begin{cases} \displaystyle -\Delta u +H(x,u,\nabla u)= \lambda f(u) \quad & \mbox{in}\,\...
Abstract: As required by information theory, channel codes with long code words are necessary building blocks in a transmission system to achieve reliable communications with minimal power and maximal...
Following the method introduced by Evans y Gangbo to solve the classical Monge-Kantorovich mass transport problem, in this lecture we present two mass transport problems obtained as limit when p\to \i...
