Optimal regularity for the Poisson equation

Wang, Lihe; Yao, Fengping; Zhou, Shulin; Jia, Huilian

doi:10.1090/S0002-9939-09-09805-0

Optimal regularity for the Poisson equation
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by Lihe Wang, Fengping Yao, Shulin Zhou and Huilian Jia PDF

Proc. Amer. Math. Soc. 137 (2009), 2037-2047 Request permission

Abstract:

In this paper we study the regularity theory for the Poisson equation in $\mathbb {R}^n$ under proper conditions. Furthermore, it will be verified that these conditions are optimal.

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