Abstract
We consider a space of $L^2$ vector fields with bounded mean oscillation whose ``normal'' component to the boundary is well-controlled.In the case when the dimension $n \geq 3$, we establish its Helmholtz decomposition for an arbitrary uniformly $C^3$ domain in $\mathbf{R}^n$.
Citation
Yoshikazu Giga. Zhongyang Gu. "The Helmholtz decomposition of a $BMO$ type vector field in general unbounded domains." Adv. Differential Equations 29 (5/6) 389 - 436, May/June 2024. https://doi.org/10.57262/ade029-0506-389
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