Project Details
Description
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.
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.
| Status | Finished |
|---|---|
| Effective start/end date | 01/08/2004 → 01/08/2020 |
Keywords
- p-Laplace comparison theory
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