Geodesic
Stability of the coincidence set of a~solution to a~parabolic variational inequality with an obstacle
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 88-91

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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. 
@article{IVM_2010_3_a10,
     author = {A. I. Mikheeva and R. Z. Dautov},
     title = {Stability of the coincidence set of a~solution to a~parabolic variational inequality with an obstacle},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {88--91},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_3_a10/}
}
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A. I. Mikheeva; R. Z. Dautov. Stability of the coincidence set of a~solution to a~parabolic variational inequality with an obstacle. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 88-91. http://geodesic.mathdoc.fr/item/IVM_2010_3_a10/