Poisson equation for differential forms
= Poisson equation for differential forms
{c}
{title2=$\Delta\alpha=\beta,\quad\alpha,\beta\in\Omega^k(M)$}
This <Poisson equation> uses the <Hodge Laplacian> on <differential forms>. On a closed <Riemannian manifold>, the obstruction to solving it is the component of the source along <harmonic differential forms>. The <Green operator of the Hodge Laplacian> supplies a solution when that component vanishes.