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

8 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
353
發行號9
DOIs
出版狀態已發佈 - 2015 九月 1
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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