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

Giga, Yoshikazu Gu, Zhongyang 北海道大学

2021.10.14

概要

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.

参考文献

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