The Helmholtz decomposition of a $BMO$ type vector field in a slightly perturbed half space
| Autor: | Giga, Yoshikazu, Gu, Zhongyang |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00021-023-00781-z |
| Popis: | We introduce a space of $L^2$ vector fields with bounded mean oscillation whose normal component to the boundary is well-controlled. We establish its Helmholtz decomposition in the case when the domain is a perturbed $C^3$ half space in $\mathbf{R}^n$ $(n \geq 3)$ with small perturbation. Comment: 55 pages |
| Databáze: | arXiv |
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