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.
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References
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A. I. Mikheeva and R. Z. Dautov, “Accuracy of the Penalty Method for Parabolic Variational Inequalities with an Obstacle Inside the Domain,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 2, 41–47 (2008) [Russian Mathematics (Iz. VUZ) 52 (2), 39–45 (2008)].
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Original Russian Text © A.I. Mikheeva and R.Z. Dautov, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 3, pp. 88–91.
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Mikheeva, A.I., Dautov, R.Z. Stability of the coincidence set of a solution to a parabolic variational inequality with an obstacle. Russ Math. 54, 77–79 (2010). https://doi.org/10.3103/S1066369X10030114
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DOI: https://doi.org/10.3103/S1066369X10030114