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Normal trace for vector fields of bounded mean oscillation

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/95977

Title: Normal trace for vector fields of bounded mean oscillation
Authors: Giga, Yoshikazu Browse this author
Gu, Zhongyang Browse this author
Issue Date: 27-Nov-2020
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1135
Start Page: 1
End Page: 33
Abstract: We introduce various spaces of vector fields of bounded mean oscillation (BMO) defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled. The behavior of "normal" component and "tangential" component may be different for our BMO vector fields. As a result zero extension of the normal component stays in BMO although such property may not hold for tangential components.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/79800
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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