On the regularity of solutions to Poisson's equation

Rahul Garg; Daniel Spector

doi:10.1016/j.crma.2015.07.001

On the regularity of solutions to Poisson's equation

Rahul Garg
, Daniel Spector

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

11 引文斯高帕斯（Scopus）

摘要

In this note, we announce new regularity results for some locally integrable distributional solutions to Poisson's equation. This includes, for example, the standard solutions obtained by convolution with the fundamental solution. In particular, our results show that there is no qualitative difference in the regularity of these solutions in the plane and in higher dimensions.

原文	英語
頁（從 - 到）	819-823
頁數	5
期刊	Comptes Rendus Mathematique
卷	353
發行號	9
DOIs	https://doi.org/10.1016/j.crma.2015.07.001
出版狀態	已發佈 - 2015 9月 1
對外發佈	是

ASJC Scopus subject areas

一般數學

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10.1016/j.crma.2015.07.001

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On the regularity of solutions to Poisson's equation

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