p-Brownian motion and the p-Laplacian
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.
Authors
- Michael Röckner (ORCID: https://orcid.org/0000-0002-1913-5808)
- Marco Rehmeier (ORCID: https://orcid.org/0000-0003-1653-1554)
- Viorel Barbu (ORCID: https://orcid.org/0000-0002-4715-9778)
Institutions
- Bielefeld University (DE)
- Romanian Academy (RO)
Publication Details
- Journal
- The Annals of Probability
- Published
- 2026-06-30
- DOI
- https://doi.org/10.1214/25-aop1795
- Citations
- 2
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00
Funders
- University of Minnesota
- Deutsche Forschungsgemeinschaft