Laplacian with singular drift in a critical borderline case
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909089641005056 |
|---|---|
| author | Kinzebulatov, Damir |
| author_facet | Kinzebulatov, Damir |
| contents | We establish well-posedness and regularity for parabolic diffusion equation in the case when the singularities of a general drift reach the critical magnitude. The latter dictates the need to work in an Orlicz space situated between all $L^p$ and $L^\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04436 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Laplacian with singular drift in a critical borderline case Kinzebulatov, Damir Analysis of PDEs Functional Analysis Probability We establish well-posedness and regularity for parabolic diffusion equation in the case when the singularities of a general drift reach the critical magnitude. The latter dictates the need to work in an Orlicz space situated between all $L^p$ and $L^\infty$. |
| title | Laplacian with singular drift in a critical borderline case |
| topic | Analysis of PDEs Functional Analysis Probability |
| url | https://arxiv.org/abs/2309.04436 |