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Inverse Coefficient Problems for Elliptic Hemivariational Inequalities

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成果类型:
期刊论文
作者:
Xiao, Cui'e;Liu, Zhenhai*
通讯作者:
Liu, Zhenhai
作者机构:
[Xiao, Cui'e] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China.
[Liu, Zhenhai] Guangxi Univ Nationalities, Sch Math & Comp Sci, Nanning 530006, Peoples R China.
[Xiao, Cui'e] Hunan City Univ, Dept Math & Computat Sci, Yiyang 413000, Peoples R China.
通讯机构:
[Liu, Zhenhai] G
Guangxi Univ Nationalities, Sch Math & Comp Sci, Nanning 530006, Peoples R China.
语种:
英文
关键词:
Elliptic hemivariational inequality;Inverse coefficient problem;Existence of quasisolution
关键词(中文):
变分不等式;椭圆;系数问题;解的存在性;非线性;反问题;梯度
期刊:
数学年刊:B辑英文版
ISSN:
0252-9599
年:
2010
卷:
31
期:
4
页码:
473-480
基金类别:
Manuscript received September 25, 2009. Revised January 29, 2010. Published online June 21, 2010. ∗School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075, China; Department of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, Hunan, China. E-mail: xiaocuie@163.com ∗∗Corresponding author. School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China. E-mail: zhhliu100@gmail.com ∗∗∗Project supported by the National Natural Science Foundation of China (No. 10971019) and the Guangxi Provincial Natural Science Foundation of China (No. 2010GXNSFA013114).
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic hemivariational inequalities. The unknown coefficient of elliptic hemivariational inequalities depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic hemivariational inequalities are uniquely solvable for the given class of coefficients. The result of existence of q...
摘要(中文):
这份报纸为非线性的椭圆形的 hemivariational 不平等被奉献给反的系数问题的一个班。椭圆形的 hemivariational 不平等的未知系数取决于答案的坡度并且属于一套可被考虑的系数。非线性的椭圆形的 hemivariational 不平等为系数的给定的班是特别地可解决的,这被显示出。反的问题的 quasisolutions 的存在的结果被获得。关键词椭圆形的 hemivariational 不平等 - 反的系数问题 - quasisolution 的存在 2000 苏布杰克特先生分类 35J85 - 49J20 - 49J45 工程由国家天赋支持了中国(号码 10971019 ) 和 Guangxi 的科学基础中国(号码 2010GXNSFA013114 ) 的省的自然科学基础。

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