Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Rüland, Angkana (VerfasserIn) , Shi, Wenhui (VerfasserIn)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 2 Jan 2021
In: Arxiv
Year: 2021, Pages: 1-17
Online-Zugang:Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2101.00439
Volltext
Verfasserangaben:Angkana Rüland and Wenhui Shi
Beschreibung
Zusammenfassung: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.
Beschreibung:Gesehen am 27.05.2021
Beschreibung:Online Resource