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 solution.
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Communicated by ZHANG Shi-sheng
Foundation item: the Foundation of State Educational Committee of China for Returned Scholars from Abroad; Natural Science Foundation of Human Province (98JJY2053)
Biography: LIU Zhen-hai (1958≈)
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Zhen-hai, L. A class of parabolic hemivariational inequalities. Appl Math Mech 21, 1045–1052 (2000). https://doi.org/10.1007/BF02459314
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DOI: https://doi.org/10.1007/BF02459314