Mathematical Sciences - Analysis and PDE Seminar - Diego Ricciotti, (University of South Florida) "Tug of war games and the p-Laplacian in the Heisenberg group"

Thursday, April 11, 2019
12:00 pm to 1:00 pm

Location:

Floor/Room #: 
309

Title: Tug of war games and the p-Laplacian in the Heisenberg group

Speaker: Diego Ricciotti (University of South Florida)

Abstract: After introducing the p-Laplace equation in the Heisenberg group, we discuss a game theoretic interpretation of p-harmonic functions by exploiting the connection between PDEs, mean value properties and dynamic programming principles. In particular we obtain an approximation scheme at a discrete level, and we prove uniform convergence to the solution of the associated Dirichlet problem with continuous boundary datum, under suitable regularity assumptions of the domain.