Singular perturbations for variational inequalities with time-dependent constraints

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:356

Article

Kubo, Masahiro

关键词: Singular perturbations;    Hyperbolic variational inequalities;    Parabolic variational inequalities;    Time-dependent subdifferentials;    Unilateral problems;    Abstract evolution equations;   

DOI  :  10.1016/j.jmaa.2009.02.015

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free