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Poincaré Lemma

  • Gyula Csató
  • Bernard Dacorogna
  • Olivier Kneuss
Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 83)

Abstract

Our first result is the classical Poincaré lemma. Its proof is elementary and does not use the Hodge–Morrey decomposition. Its drawback (compare with Theorem 8.3) is that it does not provide the expected gain in regularity and is restricted to contractible sets.

Keywords

Sobolev Space Previous Equation Weak Sense Preliminary Lemma Dual Version 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Gyula Csató
    • 1
  • Bernard Dacorogna
    • 1
  • Olivier Kneuss
    • 1
  1. 1.LausanneSwitzerland

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