TY - JOUR
T1 - On the regularity of solutions to Poisson's equation
AU - Garg, Rahul
AU - Spector, Daniel
N1 - Publisher Copyright:
© 2015.
PY - 2015/9/1
Y1 - 2015/9/1
N2 - 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.
AB - 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.
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U2 - 10.1016/j.crma.2015.07.001
DO - 10.1016/j.crma.2015.07.001
M3 - Article
AN - SCOPUS:84938738826
SN - 1631-073X
VL - 353
SP - 819
EP - 823
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 9
ER -