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Seminario Dottorato: Liouville-type results for linear elliptic operators

Wednesday 13 January 2010 - Luca Rossi

ARGOMENTI: Seminari Dottorato

SEMINARIO DOTTORATO
Wednesday 13 January 2010 h. 15:00, room 2BC/60
Luca Rossi (Universita` di Padova - Dip. Mat.)
"Liouville-type results for linear elliptic operators"

-Abstract
This talk deals with some extensions of the classical Liouville theorem about bounded harmonic functions to solutions of more general partial differential equations. In the first part, I will introduce the only two technical tools needed to prove the Liouville-type result in the case of periodic elliptic operators: Schauder's a priori estimates and maximum principle. Next, I will discuss the role of the periodicity assumption, seeing what happens if one replaces it with almost periodicity.

Rif. int. C. Marastoni, T. Vargiolu, M. Dalla Riva

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