scholarly journals Geometric inequalities for manifolds with Ricci curvature in the Kato class

2020 ◽  
Vol 69 (7) ◽  
pp. 3095-3167 ◽  
Author(s):  
Gilles Carron
2012 ◽  
Vol 23 (04) ◽  
pp. 1250009 ◽  
Author(s):  
JEONGWOOK CHANG ◽  
JINHO LEE

We derive Harnack-type inequalities for non-negative solutions of the porous medium equation on a complete Riemannian manifold with non-negative Ricci curvature. Along with gradient estimates, reparametrization of a geodesic and time rescaling of a solution are key tools to get the results.


Sign in / Sign up

Export Citation Format

Share Document