SEMINARIO DI MATEMATICA

 

Giovedì 17 ottobre 2019

ore 14:00

 

Scuola Normale Superiore

Pisa

Aula Bianchi Scienze

 

Sebastiano Don

(Università di Jyväskylä, Finlandia)

 

 

Terrà un seminario dal titolo:

 

“Fine properties of BV functions in Carnot-Carathéodory spaces”

 

 

Abstract:

Carnot-Carathéodory spaces are metric spaces arising from a system of vector fields in $\mathbb R^n$ satisfying a suitable non-involutivity assumption and they appear naturally in the study of non-holonomic control systems. We study structural properties of the measure derivative of a function of bounded variation in a CC space. We prove, in particular, that a BV function is approximately differentiable almost everywhere and we analyze the structure of its jump set. We finally show that, in a class of CC spaces satisfying some suitable geometric assumptions, the formula for the measure derivative of a BV function is analogous to the one available in the Euclidean case. 

This is a joint work with Davide Vittone.

 

Tutti gli interessati sono invitati a partecipare.

 

Classe di Scienze