Kernel and image of the Biot-Savart operator and their applications in stellarator designs

Wadim Gerner

We consider the Biot-Savart operator acting on $W^{-\frac{1}{2},2}$ regular, div-free, surface currents $j$ \begin{gather} \nonumber \operatorname{BS}(j)(x)=\frac{1}{4π}\int_Σj(y)\…