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.

 

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