On the regularity of solutions to Poisson's equation

dc.citation.epage	823	en_US
dc.citation.spage	819	en_US
dc.citation.volume	353	en_US
dc.citation.woscount	0	en_US
dc.contributor.author	Garg, Rahul	en_US
dc.contributor.author	Spector, Daniel	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2015-12-02T02:59:23Z
dc.date.available	2015-12-02T02:59:23Z
dc.date.issued	2015-09-01	en_US
dc.description.abstract	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. (C) 2015 Published by Elsevier Masson SAS on behalf of Academie des sciences.	en_US
dc.identifier.doi	10.1016/j.crma.2015.07.001	en_US
dc.identifier.issn	1631-073X	en_US
dc.identifier.journal	COMPTES RENDUS MATHEMATIQUE	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.crma.2015.07.001	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/128138
dc.identifier.wosnumber	WOS:000360252200010	en_US
dc.language.iso	en_US	en_US
dc.title	On the regularity of solutions to Poisson's equation	en_US
dc.type	Article	en_US

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