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

A short proof of local regularity of distributional solutions of Poisson's equation / Di Fratta, G.; Fiorenza, A.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 148:5(2020), pp. 2143-2148. [10.1090/proc/14895]

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

Di Fratta G.;Fiorenza A.
2020

Abstract

We prove a local regularity result for distributional solutions of Poisson's equation with Lp data. We use a very short argument based on Weyl's lemma and the Riesz-Fréchet representation theorem.
2020
A short proof of local regularity of distributional solutions of Poisson's equation / Di Fratta, G.; Fiorenza, A.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 148:5(2020), pp. 2143-2148. [10.1090/proc/14895]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/827799
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