Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 1045-1052.

• 论文 • 上一篇    下一篇

A CLASS OF PARABOLIC HEMIVARIATIONAL INEQUALITIES

刘振海   

  1. Department of Mathematics, Changsha University of Electric Power, Changsha 410077, P. R. China
  • 收稿日期:1998-12-27 修回日期:2000-04-15 出版日期:2000-09-18 发布日期:2000-09-18
  • 基金资助:

    the Foundation of State Educational Committee of China for Returned Scholars from Abroad;Natural Science Foundation of Hunan Province(98JJY2053)

A CLASS OF PARABOLIC HEMIVARIATIONAL INEQUALITIES

LIU Zhen-hai   

  1. Department of Mathematics, Changsha University of Electric Power, Changsha 410077, P. R. China
  • Received:1998-12-27 Revised:2000-04-15 Online:2000-09-18 Published:2000-09-18
  • Supported by:

    the Foundation of State Educational Committee of China for Returned Scholars from Abroad;Natural Science Foundation of Hunan Province(98JJY2053)

摘要: 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.

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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