| 一类抛物型H-半变分不等式的非局部解 |
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| 引用本文： | 刘小佑,朱惠延,彭湘.一类抛物型H-半变分不等式的非局部解[J].南华大学学报(自然科学版),2015,29(3):57-59, 77. |
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| 作者姓名： | 刘小佑 朱惠延 彭湘 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 衡阳市科技局基金资助项目(2014KJ16);南华大学博士启动基金资助项目(2013XQD16);湖南省自然科学基金资助项目(2015JJ6095) |
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| 摘 要： | H-半变分不等式是偏微分方程理论的重要分支之一,它是非凸不可微能量泛函问题变分形式的数学描述.本文讨论一类抛物型H-半变分不等式的非局部解的存在性.
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| 关 键 词： | H-半变分不等式 解的存在性 Clarke广义次微分 |
| 收稿时间： | 2015/4/24 0:00:00 |
Existence Results for a Class of Parabolic Hemivariational Inequalities with Nonlocal Conditions |
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| LIU Xiao-you,ZHU Hui-yan and PENG Xiang.Existence Results for a Class of Parabolic Hemivariational Inequalities with Nonlocal Conditions[J].Journal of Nanhua University:Science and Technology,2015,29(3):57-59, 77. |
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| Authors: | LIU Xiao-you ZHU Hui-yan and PENG Xiang |
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| Institution: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | The hemivariational inequality is one of important research subjects in nonlinear partial differential equations.The main aim of this theory is the treatment of nonconvex and nonsmooth energy problems in mechanics.In this paper,we consider the existence results for a class of parabolic hemivariational inequalities with nonlocal conditions. |
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| Keywords: | hemivariational inequalities existence results Clarke generalized subdifferential |
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