most citedNormal trace for vector fields of bounded mean oscillation

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math.AP2021

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

Yoshikazu Giga, Zhongyang Gu

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 de…