A CLASS OF PARABOLIC HEMIVARIATIONAL INEQUALITIES

被引:0
|
作者
刘振海
机构
关键词
parabolic hemivariational inequalities; multivalued mappings; existence results;
D O I
暂无
中图分类号
O178 [不等式及其他];
学科分类号
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.
引用
收藏
页码:1045 / 1052
页数:8
相关论文
共 50 条
  • [21] Existence and extremal solutions of parabolic variational–hemivariational inequalities
    Siegfried Carl
    Monatshefte für Mathematik, 2013, 172 : 29 - 54
  • [22] A class of differential hemivariational inequalities in Banach spaces
    Migorski, Stanislaw
    Zeng, Shengda
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 72 (04) : 761 - 779
  • [23] Multiple solutions for a class of elliptic hemivariational inequalities
    Marano, S. A.
    Bisci, G. Molica
    Motreanu, D.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 85 - 97
  • [24] A NUMERICAL-METHOD FOR A CLASS OF HEMIVARIATIONAL INEQUALITIES
    TZAFEROPOULOS, MA
    PANAGIOTOPOULOS, PD
    COMPUTATIONAL MECHANICS, 1994, 15 (03) : 233 - 248
  • [25] Relaxation control for a class of evolution hemivariational inequalities
    Xiaoyou Liu
    Zhenhai Liu
    Israel Journal of Mathematics, 2014, 202 : 35 - 58
  • [26] A class of differential hemivariational inequalities in Banach spaces
    Stanisław Migórski
    Shengda Zeng
    Journal of Global Optimization, 2018, 72 : 761 - 779
  • [27] Relaxation control for a class of evolution hemivariational inequalities
    Liu, Xiaoyou
    Liu, Zhenhai
    ISRAEL JOURNAL OF MATHEMATICS, 2014, 202 (01) : 35 - 58
  • [28] EXISTENCE AND UNIQUENESS SOLUTIONS FOR A CLASS OF HEMIVARIATIONAL INEQUALITIES
    Hashoosh, Ayed E.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (02): : 565 - 576
  • [29] EXISTENCE OF SOLUTIONS FOR SPACE-FRACTIONAL PARABOLIC HEMIVARIATIONAL INEQUALITIES
    Liu, Yongjian
    Liu, Zhenhai
    Wen, Ching-Feng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (03): : 1297 - 1307
  • [30] OPTIMAL CONTROL PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY CONDITIONS
    Jeong, Jin-Mun
    Ju, Eun-Young
    Kim, Hyun-Min
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (03) : 567 - 586