一类抛物型H-半变分不等式的非局部解  

Existence Results for a Class of Parabolic Hemivariational Inequalities with Nonlocal Conditions

作　　者：刘小佑[1] 朱惠延[1] 彭湘 

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2015年第3期57-59,77,共4页Journal of University of South China：Science and Technology

基　　金：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)

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.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.

关 键 词：H-半变分不等式 解的存在性 Clarke广义次微分 

分 类 号：O175[理学—数学]