REGULARITY OF POISSON EQUATION IN SOME LOGARITHMIC SPACE

REGULARITY OF POISSON EQUATION IN SOME LOGARITHMIC SPACE

In this note, the regularity of Poisson equation -△u = f with f lying in logarithmic function space L^P（LogL）^a（Ω）（1 〈 p 〈 ∞, a ∈ R） is studied. The result of the note generalizes the W^2,p estimate of Poisson equation in L^P（Ω）.

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Veröffentlicht in:Applied Mathematics-A Journal of Chinese Universities 2007-03, Vol.22 (1), p.29-36
Hauptverfasser: Jia, Huilian, Li, Dongsheng, Wang, Lihe
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Sprache:eng
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分布函数
对数空间
正则性
泊松方程
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Li, Dongsheng
Wang, Lihe
description In this note, the regularity of Poisson equation -△u = f with f lying in logarithmic function space L^P（LogL）^a（Ω）（1 〈 p 〈 ∞, a ∈ R） is studied. The result of the note generalizes the W^2,p estimate of Poisson equation in L^P（Ω）.
doi_str_mv 10.1007/s11766-007-0005-z
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subjects 分布函数
对数空间
正则性
泊松方程
title REGULARITY OF POISSON EQUATION IN SOME LOGARITHMIC SPACE
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