Genni Fragnelli, Università degli Studi di Bari, Null controllability in degenerate and singular parabolic problems, Wednesday, March 08, 2017, time 15:00 o'clock, Aula seminari 6° piano
Abstract:Abstract:
In this talk we will present the problem of null controllability for parabolic systems and we will focus on some recent results for degenerate and singular problems coming from real-world models, such as Biology, Climatology, Medicine.

Dimitri Mugnai, Università di Perugia, Fractional Hartree equations, Wednesday, March 08, 2017, time 16:15 o'clock, Aula seminari 6° piano
Abstract:Abstract:
We will report on some recent results on fractional Hartree equations having various forms of nonlinearities.

Elisabetta Chiodaroli, EPFL, Lausanne, Surprising solutions to the Euler system of isentropic gas dynamics, Wednesday, Febraury 15, 2017, time 17:00 o'clock, Aula seminari 6° piano
Abstract:Abstract:
In this talk we discuss some applications of the method of convex integration to the compressible Euler system of gas dynamics in several space dimensions. This leads to the construction of non-standard solutions which disprove the efficiency of classical admissibility criteria proposed in the literature to select unique solutions. We also show some recent studies meant at visualising numerically such non-standard solutions.

Fabio Cavalletti, SISSA - Scuola Internazionale Superiore di Studi Avanzati, Isoperimetric inequality for metric measure spaces, Wednesday, Febraury 01, 2017, time 13:15, Aula seminari 3° piano
Abstract:Abstract:
By using an L^1 localization argument, we prove that in metric measure spaces satisfying lower Ricci curvature bounds (more precisely RCD*(K,N) or more generally essentially non branching CD*(K,N) the classical Lévy-Gromov isoperimetric inequality holds with the associated rigidity and almost rigidity statements.

Alberto Farina, Université Picardie Jules Verne, A Bernstein-type result for the minimal surface equation, Wednesday, January 25, 2017, time 17:15 o'clock, Aula seminari 6° piano
Abstract:Abstract:
We prove the following Bernstein-type theorem: if $u$ is a solution to the minimal surface equation over $R^N$, such that $N-1$ partial derivatives are bounded on one side (not necessarily the same), then $u$ is an affine function. Besides its novelty, our theorem also provides a new, simple and self-contained proof of celebrated results of J. Moser and of E. Bombieri e E. Giusti.

Gianluca Vinti, Università di Perugia, Risultati di approssimazione e loro applicazioni al Digital Image Processing per la diagnosi di patologie vascolari , Wednesday, January 18, 2017, time 17:15 o'clock, Aula seminari 6° piano
Abstract:Abstract:
Viene mostrato come alcuni risultati di approssimazione tramite operatori di tipo campionamento svolgono un ruolo importante nell’ambito della ricostruzione di segnali/immagini e vengono discusse alcune loro applicazioni ad immagini CT per la diagnosi di patologie vascolari dell’aorta addominale.