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...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
2 Jan 2021
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| In: |
Arxiv
Year: 2021, Pages: 1-17 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2101.00439
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| Author Notes: | Angkana Rüland and Wenhui Shi |
| Summary: | 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. |
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| Item Description: | Gesehen am 27.05.2021 |
| Physical Description: | Online Resource |