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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 3, Pages 88–91 (Mi ivm6715)  
Brief communications

Stability of the coincidence set of a solution to a parabolic variational inequality with an obstacle

A. I. Mikheevaa, R. Z. Dautovb

a Department of Computational Mathematics, Research Institute of Mathematics and Mechanics, Kazan State University, Kazan, Russia
b Chair of Computational Mathematics, Kazan State University, Kazan, Russia
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Abstract: In this paper we propose a new technique for the stability analysis of the coincidence set of a solution to a parabolic variational inequality with an obstacle inside the domain. It is based on the reformulation of the initial inequality in the form of a parabolic initial boundary value problem with an exact penalty operator.
Keywords: variational inequality, obstacle problem, coincidence set, stability, capacity.
Received: 28.09.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 3, Pages 77–79
DOI: https://doi.org/10.3103/S1066369X10030114
Bibliographic databases:
Document Type: Article
UDC: 517.972
Language: Russian
Citation: A. I. Mikheeva, R. Z. Dautov, “Stability of the coincidence set of a solution to a parabolic variational inequality with an obstacle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 88–91; Russian Math. (Iz. VUZ), 54:3 (2010), 77–79
Citation in format AMSBIB
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\by A.~I.~Mikheeva, R.~Z.~Dautov
\paper Stability of the coincidence set of a~solution to a~parabolic variational inequality with an obstacle
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 3
\pages 88--91
\mathnet{http://mi.mathnet.ru/ivm6715}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2778328}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 3
\pages 77--79
\crossref{https://doi.org/10.3103/S1066369X10030114}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649611680}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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