Dipartimento di Matematica

Università degli Studi di Parma
Facoltà di Scienze Mat. Fis. Nat.


SEMINARIO di ANALISI

Mercoledì 20 Maggio 2009 alle ore 15,00 presso la Sala Riunioni (terzo piano) del Dipartimento di Matematica, la Prof.ssa Daniela Tonon , SISSA-ISAS, Trieste, terrà un Seminario dal titolo:

"A decomposition theorem for BV functions"

Abstract: One of the necessary and sufficient properties, characterizing real valued BV functions of one variable, is the well-known Jordan decomposition: it states that a real valued function of one variable is of bounded variation if and only if it can be written as the difference of two monotone increasing functions. In this seminar it is presented a generalization of this property to real valued BV functions of many variables, extending naturally the concept of monotone functions. This result is an extension of a previous similar result for Lipschitz functions. For vector valued BV functions of many variables a counterexample is given, which prevents further extensions.

Tutti gli interessati sono invitati a partecipare.

Dott. Gianluca Crippa
Parma, 12 Maggio 2009


Bacheca del Dip. Mat. Univ. Parma