The workshop will take place on Thursday November 21st (from 10 am to 5:30 pm) at sala d'actes of the School of Mathematics and Statistics UPC (C. Pau Gargallo, 14 Barcelona). Talks will be comprehensible to a general audience and students. Speakers: Five spanish and catalan mathematicians who have worked (or still working ) with Prof. Alessio Figalli: Xavier Cabré (UPC-ICREA), Xavier Ros-Oton (Universität Zürich), Joaquim Serra (ETH Zürich), Matteo Bonforte (Universidad Autónoma de Madrid- UAM) i Juan Luís Vázquez (Universidad Autónoma de Madrid- UAM).

Recent Submissions

  • Welcome 

    Torres Torres, Francisco; Franch Bullich, Jaume (2019-11-21)
    Audiovisual
    Open Access
  • Elliptic and parabolic equations of fractional nonlocal type 

    Vázquez, Juan Luís (2019-11-21)
    Audiovisual
    Open Access
    After a light motivation to the world of nonlocal equations of fractional type, placed inside the general theory of PDES and diffusion, the talk will present some recent work on the existence and behaviour of solutions of ...
  • Nonlinear and nonlocal degenerate diffusions on bounded Domains 

    Bonforte, Matteo (2019-11-21)
    Audiovisual
    Open Access
    Nonlinear diffusion models appear in several real world phenomena, ranging from physics, engineering and information theory to life sciences and finance. This talk will be focussed on a series of recent papers in collaboration ...
  • Generic regularity in free boundary problems 

    Ros Oton, Xavier (2019-11-21)
    Audiovisual
    Open Access
    Free boundary problems are those described by PDE's that exhibit a priori unknown (free) interfaces or boundaries. They appear in Geometry, Physics, Probability, Biology, or Finance, and their study uses tools from PDE, ...
  • Round table 

    Figalli, Alessio; Vázquez, Juan Luís; Cabré Vilagut, Xavier; Serra, Joaquim; Bonforte, Matteo; Ros Oton, Xavier (2019-11-21)
    Audiovisual
    Open Access
  • Regularity of stable interfaces: from nonlocal to local 

    Serra, Joaquim (2019-11-21)
    Audiovisual
    Open Access
    I will describe recent results with Alessio Figalli on 1D symmetry of stable critical points of the Ginzburg-Landau functional associated to the half-Laplacian. As we will discuss, an interesting feature of these ...
  • Regularity of stable solutions to semilinear elliptic equations 

    Cabré Vilagut, Xavier (2019-11-21)
    Audiovisual
    Open Access
    The regularity of stable solutions to semilinear elliptic PDEs has been studied since the 1970's. In dimensions 10 and higher, there exist singular stable energy solutions. In this talk I will describe a recent work with ...

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