[Dottorcomp] avviso di seminario 6/7/2021 - Seminario Matematico e Fisico di Milano

[Lorenzo Tamellini]

Car* collegh*,

ricevo e inoltro l'avviso di seminario qui sotto.

Cordiali saluti,
Lorenzo Tamellini



---------- Forwarded message ---------
Da: Irene M Sabadini <irene.sabadini a polimi.it>
Date: ven 2 lug 2021 alle ore 15:04
Subject: Fwd: Conferenza SMF Prof. Jean Dolbeault
To: <lorenzo.tamellini a unipv.it>


Caro Collega,

cortesemente puoi divulgare l'avviso qui sotto ai colleghi di Pavia? Credo
che sia di interesse.

Un caro saluto,

Irene Sabadini (Direttore SMF di Milano)
_________________________________________________________

Si avvisa che in data 6/7/2021, alle ore 17:00, nell'ambito delle
iniziative del *Seminario Matematico e Fisico* di Milano
il* Prof. Jean Dolbeault*, Université Paris Dauphine, terrà una conferenza
dal titolo:

*Functional inequalities: nonlinear flows and entropy methods as a tool for
obtaining sharp and constructive results*


Abstract: Interpolation inequalities play an essential role in Analysis
with fundamental consequences in Mathematical Physics, Nonlinear Partial
Differential Equations (PDEs), Markov Processes, etc., and have a wide
range of applications in various areas of Science. Research interests have
evolved over the 80 years: while mathematicians were originally focussed on
abstract properties (like notions of weak solutions and Cauchy problem in
PDEs), more qualitative questions (for instance, bifurcation diagrams,
multiplicity of the solutions in PDEs and their qualitative behaviour)
progressively emerged. Entropy methods for nonlinear PDEs is a typical
example: in some cases, the optimal constant in the inequality can be
interpreted as the optimal rate of decay of an entropy for an associated
evolution equation. Much more can be learned on the way.
This lecture is intended to give an overview of various results on some
Gagliardo-Nirenberg-Sobolev and Caffarelli-Kohn-Nirenberg inequalities
obtained during the last decade. It will not be a global picture of an
active area of research but more a series of snapshots aiming at the
illustration of some emerging tools and new directions of research.

Link per la partecipazione:
https://polimi-it.zoom.us/j/81798558580

Cordiali saluti.
Irene Sabadini
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