Regularity of solutions to a contact problem

Russell M. Brown; Zhongwei Shen; Peter Shi

doi:10.1090/s0002-9947-98-02205-3

Regularity of solutions to a contact problem

Russell M. Brown, Zhongwei Shen, Peter Shi

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider a variational inequality for the Lamé system which models an elastic body in contact with a rigid foundation. We give conditions on the domain and the contact set which allow us to prove regularity of solutions to the variational inequality. In particular, we show that the gradient of the solution is a square integrable function on the boundary.

Original language	English
Pages (from-to)	4053-4063
Number of pages	11
Journal	Transactions of the American Mathematical Society
Volume	350
Issue number	10
DOIs	https://doi.org/10.1090/s0002-9947-98-02205-3
State	Published - 1998

Keywords

Contact problems
Lamé
Regularity of solutions
System
Variational inequality

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

Access to Document

10.1090/s0002-9947-98-02205-3

Cite this

@article{a475dae7a2bc489d8429f99a14b58115,

title = "Regularity of solutions to a contact problem",

abstract = "We consider a variational inequality for the Lam{\'e} system which models an elastic body in contact with a rigid foundation. We give conditions on the domain and the contact set which allow us to prove regularity of solutions to the variational inequality. In particular, we show that the gradient of the solution is a square integrable function on the boundary.",

keywords = "Contact problems, Lam{\'e}, Regularity of solutions, System, Variational inequality",

author = "Brown, {Russell M.} and Zhongwei Shen and Peter Shi",

year = "1998",

doi = "10.1090/s0002-9947-98-02205-3",

language = "English",

volume = "350",

pages = "4053--4063",

number = "10",

}

TY - JOUR

T1 - Regularity of solutions to a contact problem

AU - Brown, Russell M.

AU - Shen, Zhongwei

AU - Shi, Peter

PY - 1998

Y1 - 1998

N2 - We consider a variational inequality for the Lamé system which models an elastic body in contact with a rigid foundation. We give conditions on the domain and the contact set which allow us to prove regularity of solutions to the variational inequality. In particular, we show that the gradient of the solution is a square integrable function on the boundary.

AB - We consider a variational inequality for the Lamé system which models an elastic body in contact with a rigid foundation. We give conditions on the domain and the contact set which allow us to prove regularity of solutions to the variational inequality. In particular, we show that the gradient of the solution is a square integrable function on the boundary.

KW - Contact problems

KW - Lamé

KW - Regularity of solutions

KW - System

KW - Variational inequality

UR - http://www.scopus.com/inward/record.url?scp=33646873567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646873567&partnerID=8YFLogxK

U2 - 10.1090/s0002-9947-98-02205-3

DO - 10.1090/s0002-9947-98-02205-3

M3 - Article

AN - SCOPUS:33646873567

SN - 0002-9947

VL - 350

SP - 4053

EP - 4063

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 10

ER -

Regularity of solutions to a contact problem

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this