Name: $p$-Brownian motion and the $p$-Laplacian
Keywords: Mathematics - Analysis of PDEs, Probability (math.PR), FOS: Mathematics, Mathematics - Probability, Analysis of PDEs (math.AP)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2024Publisher:arXiv

Authors: Barbu, Viorel; Rehmeier, Marco; Röckner, Michael;

doi: 10.48550/arxiv.2409.18744

arXiv: http://arxiv.org/abs/2409.18744

$p$-Brownian motion and the $p$-Laplacian

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Abstract

In this paper we construct a stochastic process, more precisely, a (nonlinear) Markov process, which is related to the parabolic $p$-Laplace equation in the same way as Brownian motion is to the classical heat equation given by the (2-) Laplacian.

Related Organizations

Bielefeld University
Germany

Keywords

Mathematics - Analysis of PDEs, Probability (math.PR), FOS: Mathematics, Mathematics - Probability, Analysis of PDEs (math.AP)

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