Wednesday, 19 April, 2017 - 15:00
Seminario di Geometria Aula 1B1 (pal. RM002) Stefano Pigola (Università dell'Insubria) Some estimates for the Poisson equation on complete manifolds Abstract: In this talk, I will discuss global L^p integrability properties for the Hessian of a solution of the Poisson equation \Delta u = f(x) on a manifold with sufficiently bounded geometry. If time permits, I would also like to present a C^1 estimate that depends in a quantitative way on the sectional curvature growth and that can be used to get non-existence results. These are joint works with Batu Güneysu.