Spaces of distributions with Sobolev wave front in a fixed conic set: compactness, pullback by smooth maps and the compensated compactness theorem

Stevan Pilipović, Bojan Prangoski

We consider the space ${\mathcal{D}}_L^{\prime r}(M;E)$ of distributional sections of the smooth complex vector bundle $E\to M$ whose Sobolev wave front set of order $r\in \mathbb{R}$…