Improved regularity for the stochastic fast diffusion equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909117586604032 |
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| author | Ciotir, Ioana Goreac, Dan Tölle, Jonas M. |
| author_facet | Ciotir, Ioana Goreac, Dan Tölle, Jonas M. |
| contents | We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter $m\in (0,1)$, with zero Dirichlet boundary conditions on a bounded domain in any spatial dimension, and driven by linear multiplicative Wiener noise, exhibits improved regularity in the Sobolev space $W^{1,m+1}_0$ for initial data in $L^{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01328 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Improved regularity for the stochastic fast diffusion equation Ciotir, Ioana Goreac, Dan Tölle, Jonas M. Analysis of PDEs Probability 35B65, 35K67, 60H15, 76S05 We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter $m\in (0,1)$, with zero Dirichlet boundary conditions on a bounded domain in any spatial dimension, and driven by linear multiplicative Wiener noise, exhibits improved regularity in the Sobolev space $W^{1,m+1}_0$ for initial data in $L^{2}$. |
| title | Improved regularity for the stochastic fast diffusion equation |
| topic | Analysis of PDEs Probability 35B65, 35K67, 60H15, 76S05 |
| url | https://arxiv.org/abs/2310.01328 |