標題: On the regularity of solutions to Poisson's equation
作者: Garg, Rahul
Spector, Daniel
應用數學系
Department of Applied Mathematics
公開日期: 1-Sep-2015
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. (C) 2015 Published by Elsevier Masson SAS on behalf of Academie des sciences.
URI: http://dx.doi.org/10.1016/j.crma.2015.07.001
http://hdl.handle.net/11536/128138
ISSN: 1631-073X
DOI: 10.1016/j.crma.2015.07.001
期刊: COMPTES RENDUS MATHEMATIQUE
Volume: 353
起始頁: 819
結束頁: 823
Appears in Collections:Articles