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The Helmholtz decomposition of a BMO type vector field in general unbounded domains

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/107959

Title: The Helmholtz decomposition of a BMO type vector field in general unbounded domains
Authors: Giga, Yoshikazu Browse this author →KAKEN DB
Zhongyang, Gu Browse this author
Keywords: Helmholtz decomposition
BMO space
uniformly Ck domain
Issue Date: 26-Jul-2023
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1153
Start Page: 1
End Page: 41
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/90197
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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