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

Research output: Preprint/Documentation/Report › Preprint

Contributors

  • Johannes Lankeit - (Author)
  • Patrizio Neff - (Author)
  • Dirk Pauly - , University of Duisburg-Essen (Author)

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

Original languageEnglish
Publication statusPublished - 15 Sept 2012
Externally publishedYes
No renderer: customAssociatesEventsRenderPortal,dk.atira.pure.api.shared.model.researchoutput.WorkingPaper

External IDs

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

Keywords

Keywords

  • math.AP