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Results tagged with regularity
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user 259525
regularity of solutions of PDEs.
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Elliptic regularity and Sobolev spaces
As far as I understand, one version of the elliptic regularity theorem states the following:
Let $u\in L^{2}(\mathbb{R}^{d})$ be a (weak) solution of $Du=f$ for some source $f$. … Is it possible to argue by elliptic regularity that $f\in C^{\infty}(\mathbb{R}^{d})$? …
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