Inverse problems for nonlinear quasi-variational hemivariational inequalities with application to obstacle problems of elliptic type
Inverse problems for nonlinear quasi-variational hemivariational inequalities with application to obstacle problems of elliptic type
复制标题
非线性拟变分半变分不等式的反问题及其在椭圆型障碍问题中的应用
DOI：
10.1016/j.cnsns.2021.105889
复制
发表时间：
2021-10
影响因子：
3.9
通讯作者：
Zhonghui Liu
中科院分区：
文献类型：
--
作者：
Zijia Peng;Zhonghui Liu
In this paper we study an inverse problem governed by a constrained nonlinear elliptic quasi-variational hemivariational inequality. The inequality involves two nondifferentiable functions which directly depend on solutions. We solve the direct problem and obtain the properties of weak closedness and uniform boundedness of solutions, which develops some existing results in literature. Then, using a regularized optimization method, we deal with an inverse problem to seek the identification of parameter functions appearing in the leading operator and constraint set. Finally, we apply the abstract result to a concrete inverse problem of identifying the parameter and obstacle functions in elliptic obstacle problems with the p-Laplace operator and mixed boundary conditions.
登录
查看更多内容
椭圆半变分不等式的双耦合系统：存在性和位置
影响因子：
2.9
作者：
Motreanu Dumitru;Peng Zijia
通讯作者：
Peng Zijia
DOI：
10.1137/19m1249102
发表时间：
2020-07
期刊：
SIAM J. Control. Optim.
影响因子：
--
作者：
Zijia Peng
通讯作者：
Zijia Peng
DOI：
10.1090/amsip/030
发表时间：
2002-09
期刊：
--
影响因子：
--
作者：
W. Han;M. Sofonea
通讯作者：
W. Han;M. Sofonea
影响因子：
2.1
作者：
D. Hào;Tran Nhan Tam Quyen
通讯作者：
D. Hào;Tran Nhan Tam Quyen
影响因子：
2.2
作者：
Boualem Alleche;Vicentiu D. Rădulescu
通讯作者：
Boualem Alleche;Vicentiu D. Rădulescu