ICTP Mathematics Seminar - Thursday 15 February, at 14:00 (Leandro Pessoa)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2018


Thursday 15 February, at 14.00 hrs.



Leandro Pessoa  (Universidade Federal do Piauí)


Title:
On the Dirichlet Parabolicity and the L¹-Liouville Property


Abstract:
In this talk we will discuss on the L¹-Liouville property for positive, 
superharmonic functions by providing many evidences that its validity 
relies on geometric conditions localized on large enough portions of the 
space. By the way, we present some examples in any dimension showing 
that the L¹-Liouville property is strictly weaker than the stochastic 
completeness of the manifold. The main tool in our investigations is 
represented by the potential theory of a manifold with boundary subject 
to Dirichlet boundary conditions.

This is a joint work with Professors Stefano Pigola and Alberto G. Setti 
(Università degli Studi dell'Insubria – Italia)



VENUE:  Stasi Seminar Room  (ICTP Leonardo da Vinci Building, first floor)