Uniqueness of integrable solutions to first order systems with integrable tensor-coefficients and applications to elasticity

Publikation: Vorabdruck/Dokumentation/Bericht › Vorabdruck (Preprint)

Beitragende

  • Johannes Lankeit - (Autor:in)
  • Patrizio Neff - (Autor:in)
  • Dirk Pauly - , Universität Duisburg-Essen (Autor:in)

Abstract

For a Lipschitz domain we show that solutions of certain first order systems are unique. This result is then applied to prove a crucial step for showing Korn's first inequality as well as to prove the 'infinitesimal rigid displacement lemma in curvilinear coordinates'.

Details

OriginalspracheEnglisch
PublikationsstatusVeröffentlicht - 15 Sept. 2012
Extern publiziertJa
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Externe IDs

ORCID /0000-0003-4155-7297/work/145224275

Schlagworte

Schlagwörter

  • math.AP