A Class of Parabolic Hemivariational Inequalities

LIU Zhen-hai

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LIU Zhen-hai. A Class of Parabolic Hemivariational Inequalities[J]. Applied Mathematics and Mechanics, 2000, 21(9): 942-948.

Citation:

LIU Zhen-hai. A Class of Parabolic Hemivariational Inequalities[J]. Applied Mathematics and Mechanics, 2000, 21(9): 942-948.

Citation:

LIU Zhen-hai. A Class of Parabolic Hemivariational Inequalities[J]. Applied Mathematics and Mechanics, 2000, 21(9): 942-948.

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A Class of Parabolic Hemivariational Inequalities

LIU Zhen-hai

Department of Mathematics, Changsha University of Electric Power, Changsha 410077, P R China

Received Date: 1998-12-27
Rev Recd Date: 2000-04-15
Publish Date: 2000-09-15

Abstract

Abstract

Quasilinear parabolic hemivariational inequalities as a generalization to nonconvex functions of the parabolic variational inequalities are discussed.This extension is strongly motivated by various problems in mechanics.By use of the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators,it is proved there exists at least one soluton.
- parabolic hemivariational inequalities,
- multivalued mappings,
- existence results

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References(14)

References

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