We prove constructive estimates for elastic plates modeledby 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.
A generalized Korn inequality and strong unique continuation for the Reissner-Mindlin plate system / Morassi, Antonino; Rosset, Edi; Vessella, Sergio. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 263:(2017), pp. 811-840. [10.1016/j.jde.2017.02.055]
A generalized Korn inequality and strong unique continuation for the Reissner-Mindlin plate system.
VESSELLA, SERGIO
2017
Abstract
We prove constructive estimates for elastic plates modeledby 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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