Estimates of Deviations from Exact Solutions of Elliptic Variational Inequalities

被引：0
作者：
S. I. Repin
机构：
[1] Steklov Mathematical Institute,St.Petersburg Department of the
来源：
Journal of Mathematical Sciences | 2003年 / 115卷 / 6期
关键词：
Boundary Condition; Exact Solution; Variational Inequality; Variational Problem; Functional Class;
D O I：
10.1023/A:1023378021130
中图分类号：
学科分类号：
摘要：
In this paper, we present a method of deriving majorants of the difference between exact solutions of elliptic type variational inequalities and functions lying in the admissible functional class of the problem under consideration. We analyze three classical problems associated with stationary variational inequalities: the problem with two obstacles, the elastoplastic torsion problem and the problem with friction type boundary conditions. The majorants are obtained by a modification of the duality technique earlier used by the author for variational problems with uniformly convex functionals. These majorants naturally reflects properties of exact solutions and possess necessary continuity conditions. Bibliography: 15 titles.
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页码：2811 / 2819
页数：8
相关论文
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