Singular perturbations for variational inequalities with time-dependent constraints
Singular perturbations for variational inequalities with time-dependent constraints
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DOI：
10.1016/j.jmaa.2009.02.015
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发表时间：
2009-08
影响因子：
1.3
通讯作者：
M. Kubo
中科院分区：
文献类型：
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作者：
M. Kubo
在实Hilbert空间中，我们研究了一个带有(小)参数和含时子微分的抽象双曲型变分不等式。我们证明了当参数趋于零时，它的解收敛到抛物型变分不等式的解。我们还解释了如何将抽象理论应用于具体的单边问题。
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.