Seminario

Data evento:

Wednesday, April 19, 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.