Characterization of non-empty energy spaces for continuous magnetic fields
Let B∈C(R2)B\in C(\mathbb R^2)B∈C(R2) be a continuous magnetic field, and let EB\mathcal E_BEB denote the energy space associated with BBB. The notation B=curlA′B=\operatorname{curl} A'B=curlA′ means that the…