How does one prove $\int\phi=0$ for $\phi\in\mathcal{D}$ for $\phi$ with convex support is equivalent to $\phi=\sum \partial_j F_j$ ?
I actually, don't quite see why convex support is explicitly mentioned here and how it factors into a proof.
How does onWhy is $\int\phi=0$ for $\phi\in\mathcal{D}$ for $\phi$ with co´nvex support equivalent to $\phi=\sum \partial_j F_j$?
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functional-analysis
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1Welcome to the site, and nice formatting. It would be helpful if you were a bit more explicit with everything. What is $\mathcal{D}$, for example? – 2017-01-20
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0https://en.m.wikipedia.org/wiki/Poincare_lemma – 2017-01-20