| 一类抛物型H-半变分不等式 |
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| 引用本文： | 刘振海. 一类抛物型H-半变分不等式[J]. 应用数学和力学, 2000, 21(9): 942-948 |
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| 作者姓名： | 刘振海 |
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| 作者单位： | 长沙电力学院数学系, 长沙410077 |
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| 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!(98JJY2 0 53) |
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| 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。
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| 关 键 词： | 抛物型H-半变分不等式 多值映象 存在性结果 |
| 收稿时间： | 1998-12-27 |
A Class of Parabolic Hemivariational Inequalities |
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| LIU Zhen-hai. A Class of Parabolic Hemivariational Inequalities[J]. Applied Mathematics and Mechanics, 2000, 21(9): 942-948 |
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| Authors: | LIU Zhen-hai |
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| Affiliation: | Department of Mathematics, Changsha University of Electric Power, Changsha 410077, P R China |
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| 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. |
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| Keywords: | parabolic hemivariational inequalities multivalued mappings existence results |
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