Curl and gradient of divergence operators in Spaces ${\mathbf{W}}^m$ and ${\mathbf{A}}^{2k}$ vortex and potential fields and in the classes $\mathbf{C}(2k,m)$

Romen Semenovich Saks

The properties of the curl and the gradient of divergence operators ( $\text{rot}$ and $\nabla \text{div}$ ) are studied in the space ${\mathbf{L}}_2(G)$ in a bounded domain $…