Higher Regularity for the Signorini Problem for the Homogeneous, Isotropic Lam\'e System
Analysis of PDEs
2021-01-05 v1
Abstract
In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lam\'e system. Relying on an observation by Schumann \cite{Schumann1}, we reduce the question of the solution's and the free boundary regularity for the homogeneous, isotropic Lam\'e system to the corresponding regularity properties of the obstacle problem for the half-Laplacian.
Cite
@article{arxiv.2101.00439,
title = {Higher Regularity for the Signorini Problem for the Homogeneous, Isotropic Lam\'e System},
author = {Angkana Rüland and Wenhui Shi},
journal= {arXiv preprint arXiv:2101.00439},
year = {2021}
}
Comments
17 pages, comments welcome