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Seminario / LUNARDI

SEMINARIO MATEMATICO E FISICO DI MILANO

AVVISO DI CONFERENZA

Venerdi' 23 febbraio 2018 alle ore 10:30 precise, presso la Sala
Consiglio del VII piano del Dipartimento di Matematica del Politecnico
di Milano, in via Bonardi 9

Prof. ALESSANDRA LUNARDI
Università di Parma

terra' la conferenza

"Sobolev and BV functions in infinite dimension"

Abstract: In Hilbert or Banach spaces X endowed with a good probability
measure mu there are a few "natural" definitions of Sobolev spaces and
of spaces of bounded variation functions. The available theory deals
mainly with Gaussian measures and Sobolev and BV functions defined in
the whole X, while the study and Sobolev and BV spaces in domains,
and/or with respect to non Gaussian measures, is largely to be developed.

As in finite dimension, Sobolev and BV functions are tools for the study
of different problems, in particular for PDEs with infinitely many
variables, arising in mathematical physics in the modeling of systems
with an
infinite number of degrees of freedom, and in stochastic PDEs through
Kolmogorov equations.

In this talk I will describe some of the main features and open problems
concerning such function spaces.

21 febbraio 2018
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