The Nelson conjecture and chain rule property

Nikolay A. Gusev, Mikhail V. Korobkov

Let $p\ge 1$ and let $\mathbf{v}:{\mathbb{R}}^d\to {\mathbb{R}}^d$ be a compactly supported vector field with $\mathbf{v}\in L^p({\mathbb{R}}^d)$ and $\operatorname{div} \b…