On the existence of distributional potentials

Jürgen Voigt

We present proofs for the existence of distributional potentials $F\in {\mathcal{D}}^{\prime }(\Omega )$ for distributional vector fields $G\in {\mathcal{D}}^{\prime }(\Omega {)}^n$, i.e. $\mathrm{grad}F=G$, w…