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 Izv. Vyssh. Uchebn. Zaved. Mat., 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

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.

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:3, 77–79

Bibliographic databases:

UDC: 517.972

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
\Bibitem{MikDau10} \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://www.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}