We use drifted Brownian motion in tailor made warped product model spaces as comparison constructions to sudy $p$-hyperbolicity and $p$-parabolicity of a large class of submanifolds in ambient spaces with restricted curvature behaviour. It is expected that similar techniques will also give generalized isoperimetric inequalities as well as $p$-Laplace heat kernel estimates and mean exit time estimates for the corresponding nonlinear diffusion.
|Period||01/08/04 → 01/08/20|
|Financing source||Forskningsrådene - SNF|
|Research programme||Forskningsrådene - STVF|
|Amount||20,000.00 Danish kroner|
- p-Laplace comparison theory