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The Helmholtz decomposition of a BMO type vector field in general unbounded domains
Description
We consider a space of L2 vector fields with bounded mean oscillation whose “normal”component to the boundary is well-controlled. In the case when the dimension n ≥ 3, we establish its Helmholtz decomposition for arbitrary uniformly C3 domain in Rn.
Journal
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 1153 1-41, 2023-07-26
Department of Mathematics, Hokkaido University
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Details 詳細情報について
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- CRID
- 1390297039773130880
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- DOI
- 10.14943/107959
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- HANDLE
- 2115/90197
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
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- Abstract License Flag
- Allowed