On the Poincaré-Bogovski lemma on differential forms
Let \(D\) be a bounded domain in \(\mathbb{R}^ n\). The author constructs an integral operator \(K\) such that \(d(K\omega)+K(d\omega)=\omega\) for every differential form \(\omega\) on \(D\), with the property: if \(\text{supp }\omega\subset D\cup\Gamma\) then \(\text{supp }K\omega\subset D\cup \Gamma\), \(\Gamma\) being an open subset of \(\partial D\). In addition, the operator \(K\) is bounded in \(L_ p\) Sobolev spaces.
scientific article; zbMATH DE number 37718