Variational inequalities with time-dependent constraints in Lp

被引：5
|
作者：
Kubo, Masahiro [1 ]
机构：
[1] Nagoya Inst Technol, Nagoya, Aichi 4668555, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 02期
关键词：
Parabolic variational inequalities; Abstract parabolic evolution equations; EVOLUTION-EQUATIONS; UNILATERAL PROBLEMS; SPACES;
D O I：
10.1016/j.na.2010.03.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose an abstract variational inequality with time-dependent constraints in a Banach space with a uniformly convex dual and establish the existence, uniqueness, and regularity of the solution thereof. The abstract result is applied to concrete variational inequalities with time-dependent constraints, thereby obtaining the L-p-regularity of solutions. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：390 / 398
页数：9
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