Seminario Dottorato: Liouville-type results for linear elliptic operators

Wednesday 13 January 2010 - Luca Rossi

ARGOMENTI: Seminars Ph.D. Program

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

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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