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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.21855 |
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| _version_ | 1866917821425909760 |
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| author | Luo, Dejun Xie, Bin Zhao, Guohuan |
| author_facet | Luo, Dejun Xie, Bin Zhao, Guohuan |
| contents | For the stochastic linear transport equation with $L^p$-initial data ($1<p<2$) on the full space $\mathbb{R}^d$, we provide quantitative estimates, in negative Sobolev norms, between its solutions and that of the deterministic heat equation. Similar results are proved for the stochastic 2D Euler equations with transport noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21855 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative estimates for SPDEs on the full space with transport noise and $L^p$-initial data Luo, Dejun Xie, Bin Zhao, Guohuan Probability For the stochastic linear transport equation with $L^p$-initial data ($1<p<2$) on the full space $\mathbb{R}^d$, we provide quantitative estimates, in negative Sobolev norms, between its solutions and that of the deterministic heat equation. Similar results are proved for the stochastic 2D Euler equations with transport noise. |
| title | Quantitative estimates for SPDEs on the full space with transport noise and $L^p$-initial data |
| topic | Probability |
| url | https://arxiv.org/abs/2410.21855 |