Browder-Tikhonov regularization of non-coercive evolution hemivariational inequalities. (English) Zbl 1078.49006

Liu, Zhenhai

Inverse Probl. 21, No. 1, 13-20 (2005).

Summary: 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.

MSC:

49J40	Variational inequalities
49M30	Other numerical methods in calculus of variations (MSC2010)
65J20	Numerical solutions of ill-posed problems in abstract spaces; regularization
47J20	Variational and other types of inequalities involving nonlinear operators (general)
35J85	Unilateral problems; variational inequalities (elliptic type) (MSC2000)

Keywords:

Clarke directional derivative; evolution hemivariational inequality; Browder-Tikhonov regularization