Divergence

Raphaël Danchin; Piotr B. Mucha

doi:10.3934/dcdss.2013.6.1163

Article Contents

2013, Volume 6, Issue 5: 1163-1172. Doi: 10.3934/dcdss.2013.6.1163

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Divergence

Raphaël Danchin^1, and
Piotr B. Mucha^2,

1.
Université Paris-Est, LAMA, UMR 8050, 61 avenue du Général de Gaulle, 94010 Créteil Cedex
2.
Warsaw University, Inst. of Applied Math. and Mech., ul. Banacha 2, 02-097 Warszawa

Received: December 2011

Revised: February 2012

Published online: March 2013

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Abstract

This note is dedicated to a few questions related to the divergence equation which have been motivated by recent studies concerning the Neumann problem for the Laplace equation or the (evolutionary) Stokes system in domains of $\mathbb{R}^n.$ For simplicity, we focus on the classical Sobolev spaces framework in bounded domains, but our results have natural and simple extensions to the Besov spaces framework in more general domains.

Keywords:

Mathematics Subject Classification: Primary: 35F15; Secondary: 35Q35.

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References

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