$p$-Brownian motion and the $p$-Laplacian
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917875886850048 |
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| author | Barbu, Viorel Rehmeier, Marco Röckner, Michael |
| author_facet | Barbu, Viorel Rehmeier, Marco Röckner, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18744 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $p$-Brownian motion and the $p$-Laplacian Barbu, Viorel Rehmeier, Marco Röckner, Michael Probability Analysis of PDEs 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. |
| title | $p$-Brownian motion and the $p$-Laplacian |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2409.18744 |