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arXiv · 1904.05839

A short proof of local regularity of distributional solutions of Poisson's equation

Giovanni Di Fratta·Alberto Fiorenza
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Abstract

We prove a local regularity result for distributional solutions of the Poisson's equation with $L^p$ data. We use a very short argument based on Weyl's lemma and Riesz-Fréchet representation theorem.

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Giovanni Di Fratta, Alberto Fiorenza. 2019-04-16. A short proof of local regularity of distributional solutions of Poisson's equation. https://arxiv.org/abs/1904.05839

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