[CvGmt News] avviso seminario di Matematica dr. Luciano Mari (06.04.2016)

Valeria Giuliani valeria.giuliani at sns.it
Tue Apr 5 08:25:54 CEST 2016


Mercoledì 6 aprile 2016

ore 14:00

*Scuola Normale Superiore*


Aula Mancini

*Luciano Mari*


terrà un seminario dal titolo:

*“**The Ahlfors-Khas’minskii duality for fully nonlinear PDEs, and
geometric applications”*


Maximum principles at infinity (or ”almost maximum principles”) are a
powerful tool to investigate the geometry of Riemannian manifolds. Among
them, we stress the Ekeland, the Omori-Yau principles and their weak
versions, in the sense of Pigola-Rigoli-Setti. These last have nice
probabilistic counterparts in terms of stochastic and martingale
completeness, which in turn are related to potential theory and
parabolicity. The validity of such principles is usually granted via
suitable exhaustion functions called Evans-Khas’minskii potentials. In this
talk, I discuss an underlying, unifying duality that allows to uncover
relations between the principles. Indeed, duality holds for a broad class
of fully-nonlinear operators of geometric interest. Our methods use the
approach to nonlinear PDEs pioneered by Krylov (’95) and Harvey-Lawson (’09
- ), and involve the study of viscosity “almost solutions” of obstacle type
problems. This is joint work with Leandro F. Pessoa.

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze Matematiche e Naturali

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