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Does the electrodynamics-like PDE $\epsilon^{ijk}\partial_j B_{kl}(x) = \delta^i_l\delta^{(3)}(x)$ have solutions?
Consider the following PDE in 3 dimensions
$$ \epsilon^{ijk}\partial_j B_{kl}(x) = \delta^i_l\delta^{(3)}(x)$$
Does $B_{kl}(x)$ have a solution? (It can have any kind of singularity, e.g. it can have ...
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