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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.
StatusCurrent
Period01/08/0401/08/20
Financing sourceForskningsrådene - SNF
Research programmeForskningsrådene - STVF
Amount20,000.00 Danish kroner

Keywords

  • p-Laplace comparison theory
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ID: 2235877