with W.F. Pfeffer, Distributions for which div v = F has a continuous solution.
The equation div v = F has a continuous solution in an open set U ⊂ Rn if and only if the distribution F satisfies the following condition: F(φi) converges to zero for each sequence (φi) of test functions such that the supports of the φi are contained in a fixed compact subset of U, and in the L1 norm, (φi) converges to zero and (∇φi) is bounded.