A generalized Korn inequality and strong unique continuation for the Reissner-Mindlin plate system
Analysis of PDEs
2016-10-06 v1
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.
Keywords
Cite
@article{arxiv.1610.01428,
title = {A generalized Korn inequality and strong unique continuation for the Reissner-Mindlin plate system},
author = {Antonino Morassi and Edi Rosset and Sergio Vessella},
journal= {arXiv preprint arXiv:1610.01428},
year = {2016}
}
Comments
32 pages. arXiv admin note: text overlap with arXiv:1209.6066