Size estimates for nanoplates
Analysis of PDEs
2023-05-10 v1
Abstract
We consider the problem of determining, within an elastic isotropic nanoplate in bending, the possible presence of an inclusion made of different elastic material. Under suitable a priori assumptions on the unknown inclusion, we provide quantitative upper and lower estimates for the area of the unknown defect in terms of the works exerted by the boundary data when the inclusion is present or absent.
Cite
@article{arxiv.2209.09243,
title = {Size estimates for nanoplates},
author = {Antonino Morassi and Edi Rosset and Eva Sincich and Sergio Vessella},
journal= {arXiv preprint arXiv:2209.09243},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2209.08830