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

2016/10/05 by Morassi, Antonino, Rosset, Edi, Vessella, Sergio
#35B60 #35J57 #74K20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.01428

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 H² 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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