Applied Mathematics and Mechanics

, Volume 21, Issue 9, pp 1045–1052 | Cite as

A class of parabolic hemivariational inequalities

  • Liu Zhen-hai


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 solution.

Key words

parabolic hemivariational inequalities multivalued mappings existence results 

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2000

Authors and Affiliations

  • Liu Zhen-hai
    • 1
  1. 1.Department of MathematicsChangsha University of Electric PowerChangshaP R China

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