[CvGmt News] [Notiziario] [Settimanale] avviso seminario di matematica prof. Enrico Priola (22.06.2018)

[Valeria Giuliani]

SEMINARIO DI MATEMATICA



Venerdì 22 giugno 2018

ore 11:00



*Scuola Normale Superiore*

Pisa

Aula Mancini



  *Enrico Priola*

*(Università di Torino)*



terrà un seminario dal titolo:



*“**Poisson stochastic process and basic  parabolic estimates**”*



*Abstract:*

We show  how  knowing Schauder  or Sobolev-space estimates for the
one-dimensional heat equation allows one to derive their multidimensional
analogs for equations with coefficients depending only on time variable
with the  same constants as in the case of the one-dimensional heat
equation. The method is   quite general and is  based on using the Poisson
stochastic process.  It also applies to other types of  estimates and to
equations involving non-local operators.  It looks like no other methods
are available at this time and it is a  challenging problem to find an
analytic approach to prove such results.  In the talk I will concentrate on
basic Sobolev estimates for the heat equation trying to explain the method.



This is a joint work with N. V. Krylov.



Tutti gli interessati sono invitati a partecipare.



Classe di Scienze



Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani at sns.it
E-mail: classi at sns.it

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