The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain
| Autor: | Giga, Yoshikazu, Gu, Zhongyang |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We introduce a space of vector fields with bounded mean oscillation whose ``tangential'' and ``normal'' components to the boundary behave differently. We establish its Helmholtz decomposition when the domain is bounded. This substantially extends the authors' earlier result for a half space. Comment: 42 pages |
| Databáze: | arXiv |
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