A short proof of local regularity of distributional solutions of Poisson’s equation-Reference-Cited by-同舟云学术

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

Published:2020-02-13 Issue:5 Volume:148 Page:2143-2148
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Di Fratta Giovanni,Fiorenza Alberto

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/0000-000-00/S0002-9939-2020-14895-2/S0002-9939-2020-14895-2.pdf

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4. Blow up for 𝑢_{𝑡}-Δ𝑢=𝑔(𝑢) revisited;Brezis, Haïm;Adv. Differential Equations,1996

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