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