• Corso di Studi in Ingegneria Matematica, nuovo progetto di doppia laurea con EPFL
    Double degree Master Program between Politecnico di Milano and EPFL

Laboratory of Modeling and Scientific Computing
Laboratorio di Modellistica
Calcolo Scientifico
Laboratory of Mathematics Education and Scientific Experimentation
Laboratorio di Formazione
Matematica e di
Sperimentazione Didattica
differential equations at polimi
differential equations
at polimi
Quantitative Finance LAB
Laboratorio di
Finanza Quantitativa
Game Theory And Computation (Group)
Game Theory And Computation

Prossimi Eventi

  • nov
    07-11-2016, ore 16:30 Convergence to equilibrium via quantitative stability
    Alessio Figalli

    • Convergence to equilibrium via quantitative stability
    • Alessio Figalli, ETH Zurich
    • Lunedì 7 novembre 2016 alle ore 16:30, Aula Chisini, via Saldini 50
    • Abstract
      Geometric and functional inequalities play a crucial role in several PDE problems.

      Very recently there has been a growing interest in studying the stability for such inequalities. The basic question one wants to address is the following:

      Suppose we are given a functional inequality for which minimizers are known. Can we prove, in some quantitative way, that if a function “almost attains the equality” then it is close to one of the minimizers?

      Actually, in view of applications to PDEs, a even more general and natural question is the following: suppose that a function almost solve the Euler-Lagrange equation associated to some functional inequality. Is this function close to one one of the minimizers?

      While in the first case the answer is usually positive, in the second case one has to face the presence of bubbling phenomena.

      In this talk I’ll give a overview of these general questions using some concrete examples, and then present recent applications to some fast diffusion equation related to the Yamabe flow.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568