19 apr 2017 -- 15:00
Aula 1B1, Dip.SBAI, Università "La Sapienza", Roma
Abstract.
In this talk, I will discuss global Lp 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 Guneysu.