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...
There are several well known methods to discretize, by finite differences, the vorticity equation for two-dimensional incompressible flow, but Arakawa's Jacobian is one of the most renowned solutions ...
In this talk I will discuss some new results on the infinitesimal behavior of 2 dimensional almost minimal surfaces (relevant examples are semi-calibrated currents and section of 3 dimensional minimiz...
