Article ID Journal Published Year Pages File Type
4619938 Journal of Mathematical Analysis and Applications 2009 9 Pages PDF
Abstract

We study an abstract hyperbolic variational inequality with a (small) parameter and with time-dependent subdifferentials in a real Hilbert space. We prove that its solution converges to a solution of a parabolic variational inequality as the parameter tends to zero. We also explain how to apply the abstract theory to concrete unilateral problems.

Related Topics
Physical Sciences and Engineering Mathematics Analysis