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arXiv · 1610.01428

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

Antonino Morassi·Edi Rosset·Sergio Vessella
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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.

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Antonino Morassi, Edi Rosset, Sergio Vessella. 2016-10-05. A generalized Korn inequality and strong unique continuation for the Reissner-Mindlin plate system. https://arxiv.org/abs/1610.01428

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