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

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. © 2010 Allerton Press, Inc.