[Dottorcomp] Fwd: I: Avviso di seminario

[Stefano Lisini]

Segnalo il seguente seminario organizzato dal Seminario Matematico e
Fisico di Milano. Non mi hanno comunicato il link zoom, ma dovrebbe
essere disponibile prima del seminario sulla pagina web
https://www.mate.polimi.it/smf/index.php?settore=home&id_link=10

Cordiali saluti,
Stefano Lisini.


Si avvisa che in data 6/7/2021, alle ore 17:00, On line, nell'ambito
delle iniziative del Seminario Matematico e Fisico di Milano, si
svolgerà il seguente seminario:

Functional inequalities: nonlinear flows and entropy methods as a tool
for obtaining sharp and constructive results
Jean Dolbeault, Université Paris Dauphine
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.