The Closed Range Property and Gaffney's Inequality of the De Rham Complex in Unbounded Domains

Dirk Pauly, Marcus Waurick

The classical Poincaré estimate establishes closedness of the range of the gradient in unweighted $L^2(\Omega )$-spaces as long as $\Omega \subseteq {\mathbb{R}}^3$ is contained in a slab, that i…