A short proof of local regularity of distributional solutions of Poisson's equation
classification
🧮 math.AP
keywords
distributionalequationlocalpoissonregularityshortsolutionsargument
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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-Fr\'echet representation theorem.
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