RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Algebra i Analiz: Year: Volume: Issue: Page: Find

 Algebra i Analiz, 2015, Volume 27, Issue 3, Pages 183–201 (Mi aa1440)

Research Papers

Contact of a thin free boundary with a fixed one in the Signorini problem

N. Matevosyana, A. Petrosyanb

a Department of Mathematics, University of Texas at Austin, Austin, TX 78712, USA
b Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA

Abstract: The Signorini problem is studied near a fixed boundary where the solution is “clamped down” or “glued”. It is shown that, in general, the solutions are at least $C^{1/2}$ regular and that this regularity is sharp. Near the actual points of contact of the free boundary with the fixed one, the blowup solutions are shown to have homogeneity $\kappa\geq3/2$, while at the noncontact points the homogeneity must take one of the values: $1/2,3/2,…,m-1/2,\ldots$

Keywords: Signorini problem, thin obstacle problem, thin free boundary, optimal regularity, contact with fixed boundary, Almgren's frequency formula.

Full text: PDF file (547 kB)
References: PDF file   HTML file

English version:
St. Petersburg Mathematical Journal, 2016, 27:3, 481–494

Bibliographic databases:

Language:

Citation: N. Matevosyan, A. Petrosyan, “Contact of a thin free boundary with a fixed one in the Signorini problem”, Algebra i Analiz, 27:3 (2015), 183–201; St. Petersburg Math. J., 27:3 (2016), 481–494

Citation in format AMSBIB
\Bibitem{MatPet15} \by N.~Matevosyan, A.~Petrosyan \paper Contact of a~thin free boundary with a~fixed one in the Signorini problem \jour Algebra i Analiz \yr 2015 \vol 27 \issue 3 \pages 183--201 \mathnet{http://mi.mathnet.ru/aa1440} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3570962} \elib{http://elibrary.ru/item.asp?id=24849896} \transl \jour St. Petersburg Math. J. \yr 2016 \vol 27 \issue 3 \pages 481--494 \crossref{https://doi.org/10.1090/spmj/1399} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000373930300009} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84963579882}