Friday, 26 October, 2012
SPEAKER: Prof. Krzysztof Bogdan, Wroclaw University of Technology, Polish Academy of Sciences and Stanford University
TITLE: Jump-type random processes and nonlocal boundary value problems
ABSTRACT: We will discuss estimates of harmonic functions, Green function and heat kernel of the fractional Laplacian and related operators on domains. The results are obtained by analysis of jumps and first exit times from domains for the corresponding Markov processes, most notably for the isotropic
stable Levy process. This will be a survey of results and experience accumulated in the last 15 years by the speaker and collaborators, which may shed some light on Dirichlet conditions for nonlocal operators.
Refreshments will be available at 3:15 p.m.