The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/100096

Title:	The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain
Authors:	Giga, Yoshikazu Browse this author
Authors:	Gu, Zhongyang Browse this author
Issue Date:	14-Oct-2021
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1139
Start Page:	1
End Page:	42
Abstract:	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.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/82938
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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