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A new proof of Lp estimates of Stokes equations
Journal article   Open access   Peer reviewed

A new proof of Lp estimates of Stokes equations

Fangju Hu, Dongsheng Li and Lihe Wang
Journal of mathematical analysis and applications, Vol.420(2), pp.1251-1264
12/15/2014
DOI: 10.1016/j.jmaa.2014.06.039
url
https://doi.org/10.1016/j.jmaa.2014.06.039View
Published (Version of record) Open Access

Abstract

In this paper, we establish a new proof of Lp estimates of the Stokes equations, which enables us to avoid the use of potential theory and thus simplifies the traditional proof. The modified Vitali covering lemma and the maximal function technique are the main analytical tools.
[formula omitted] estimates Vitali covering lemma Maximal function Stokes equations

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