Seminars & Colloquia Calendar
On Green functions of second-order elliptic operators on Riemannian Manifolds: the critical case
Yehuda Pinchover: Technion-Israel Institute of Technology
Location: Hill 425
Date & time: Wednesday, 08 February 2017 at 1:40PM - 1:41PM
We prove for a critical operator P in M, the existence of a Green function which is dominated above by the ground state of P away from the singularity. Moreover, in a certain class of Green functions, such a Green function is unique, up to an addition of a product of the ground states of P and P^*. This result extends and sharpens the celebrated result of Peter Li and Luen-Fai Tam concerning the existence of a symmetric Green function for the Laplace-Beltrami operator on a smooth and complete Riemannian manifold M.
This is a joint work with Debdip Ganguly.