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The Helmholtz decomposition of a BMO type vector field in a slightly perturbed half space

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/105296

Title: The Helmholtz decomposition of a BMO type vector field in a slightly perturbed half space
Authors: Giga, Yoshikazu Browse this author
Gu, Zhongyang Browse this author
Keywords: Helmholtz decomposition
BMO space
perturbed half space
Issue Date: 13-Jan-2023
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1148
Start Page: 1
End Page: 55
Abstract: We introduce a space of L2 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 C3 half space in Rn (n≥3) with small perturbation.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/87653
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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