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# Stefano Pigola

On the global $W^{2,p}$ regularity of solutions of the Poisson equation on complete manifolds
Jeudi, 20 Février, 2020 - 14:00
Résumé :

I will give an overview of some recent results concerning the validity and the failure of a global estimate of the form  $| \nabla u |_{L^p(M)} + | \mathrm{Hess}(u) |_{L^p(M)} \leq C { | u |_{L^p(M)} + | f |_{L^p(M)}}$, where $u$ is a smooth solution of the Poisson equation $\Delta u = f$ and $C>0$ is a constant that depends on the geometry of the underlying complete Riemannian manifold $(M,g)$.

Institution de l'orateur :
Como
Thème de recherche :
Théorie spectrale et géométrie