论文信息 - Browder-Tikhonov regularization of non-coercive evolution hemivariational inequalities

Browder-Tikhonov regularization of non-coercive evolution hemivariational inequalities

This paper is devoted to the regularization of a class of evolution hemivariational inequalities. The operator involved is taken to be non-coercive and the data are assumed to be known approximately. Under the assumption that the evolution hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder–Tikhonov regularization method.

Zhenhai Liu | Zhenhai Liu

[1] Dumitru Motreanu,et al. Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities , 1998 .

[2] A class of evolution hemivariational inequalities , 1999 .

[3] Samir Adly,et al. Recession mappings and noncoercive variational inequalities , 1996 .

[4] Yu. S. Ledyaev,et al. Nonsmooth analysis and control theory , 1998 .

[5] Existence and Comparison Results for Quasilinear Evolution Hemivariational Inequalities , 2004 .

[6] G. Isac. Tihonov′s Regularization and the Complementarity Problem in Hilbert Spaces , 1993 .

[7] P. D. Panagiotopoulos,et al. On parabolic hemivariational inequalities and applications , 1999 .

[8] Franco Giannessi,et al. Regularization of non-coercive quasi variational inequalities , 2000 .

[9] S. Migórski. Existence and convergence results for evolution hemivariational inequalities , 2000 .

[10] Zhenhai Liu. Some Convergence Results for Evolution Hemivariational Inequalities , 2004, J. Glob. Optim..

[11] D. Kinderlehrer,et al. An introduction to variational inequalities and their applications , 1980 .

[12] Curtis R. Vogel,et al. Well posedness and convergence of some regularisation methods for non-linear ill posed problems , 1989 .

[13] Tai-Ping Liu,et al. On a nonstrictly hyperbolic system of conservation laws , 1985 .