一类抛物型H-半变分不等式

刘振海

一类抛物型H-半变分不等式

刘振海

长沙电力学院数学系, 长沙410077

基金项目: 留学归国人员基金;电力部新星基金资助项目;湖南省自然科学基金资助项目(98JJY2053)

详细信息

作者简介:
刘振海(1958- ),男,湖南益阳人,教授,匈牙利科学院博士,系主任.

中图分类号: O175.25
计量
- 文章访问数: 2113
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- 被引次数: 0
出版历程
- 收稿日期: 1998-12-27
- 修回日期: 2000-04-15
- 刊出日期: 2000-09-15

A Class of Parabolic Hemivariational Inequalities

LIU Zhen-hai

Department of Mathematics, Changsha University of Electric Power, Changsha 410077, P R China

摘要

摘要: 研究一类拟线性抛物型H-半变分不等式,即研究具有非凸、非光滑泛函的抛物型变分不等式。这类问题的研究来自力学。利用Clarke广义梯度和伪单调算子理论,证明了一类拟线性抛物型H-半变分不等式解的存在性。
- 抛物型H-半变分不等式 /
- 多值映象 /
- 存在性结果
Abstract: Quasilinear parabolic hemivariational inequalities as a generalization to nonconvex functions of the parabolic variational inequalities are discussed.This extension is strongly motivated by various problems in mechanics.By use of the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators,it is proved there exists at least one soluton.
- parabolic hemivariational inequalities /
- multivalued mappings /
- existence results

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参考文献(14)

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