Clop, AlbertSengupta, Banhirup2025-01-162025-01-162022-08-150022-247Xhttps://hdl.handle.net/2445/217559Among those nearly incompressible vector fields $\mathbf{v}: \mathbb{R}^n \rightarrow \mathbb{R}^n$ with $|x| \log |x|$ growth at infinity, we give a pointwise characterization of the ones for which curl $\mathbf{v}=D \mathbf{v}-D^t \mathbf{v}$ belongs to $L^{\infty}$. When $n=2$ we can go further and describe, still in pointwise terms, the vector fields $\mathbf{v}: \mathbb{R}^2 \rightarrow \mathbb{R}^2$ for which $|\operatorname{div} \mathbf{v}|+|\operatorname{curl} \mathbf{v}| \in L^{\infty}$.32 p.application/pdfengcc by (c) Albert Clop et al., 2022http://creativecommons.org/licenses/by/3.0/es/Equacions diferencialsTeoria geomètrica de funcionsDifferential equationsGeometric function theoryinfo:eu-repo/semantics/article7516392025-01-16info:eu-repo/semantics/openAccess