On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order

  • Matthias Geißert
  • Horst Heck
  • Matthias Hieber

Abstract

Consider the divergence problem with homogeneous Dirichlet data on a Lipschitz domain. Two approaches for its solutions in the scale of Sobolev spaces are presented. The first one is based on Calderón-Zygmund theory, whereas the second one relies on the Stokes equation with inhomogeneous data.

Keywords

Divergence problem Bogovskii’s operator 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Matthias Geißert
    • 1
  • Horst Heck
    • 1
  • Matthias Hieber
    • 1
  1. 1.Fachbereich MathematikTechnische Universität DarmstadtDarmstadtGermany

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