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A generalized Korn inequality and strong unique continuation for the Reissner–Mindlin plate system

MORASSI, Antonino
•
Rosset, Edi
•
Vessella, Sergio
2017
  • journal article

Periodico
JOURNAL OF DIFFERENTIAL EQUATIONS
Abstract
We prove constructive estimates for elastic plates modelled by the Reissner-Mindlin theory and made by general anisotropic material. Namely, we obtain a generalized Korn inequality which allows to derive quantitative stability and global H^2 regularity for the Neumann problem. Moreover, in case of isotropic material, we derive an interior three spheres inequality with optimal exponent from which the strong unique continuation property follows.
DOI
10.1016/j.jde.2017.02.055
WOS
WOS:000400123300027
Archivio
http://hdl.handle.net/11390/1109108
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85015292823
http://www.elsevier.com/inca/publications/store/6/2/2/8/6/8/index.htt
Diritti
closed access
Soggetti
  • Elastic plate

  • Korn inequalitie

  • Quantitative unique c...

  • Regularity

  • Analysis

Scopus© citazioni
2
Data di acquisizione
Jun 2, 2022
Vedi dettagli
Web of Science© citazioni
2
Data di acquisizione
Mar 26, 2024
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