数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1318-1326.doi: 10.1016/S0252-9602(11)60318-4

• 论文 • 上一篇    下一篇

INVERSE COEFFICIENT PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES

刘振海1, I.Szántò2   

  1. 1.Faculty of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China|2.Departamento de Matem´atica, Universidad T´ecnica Federico Santa Mar´?a, Casilla 110-V, Valpara´?so Chile
  • 收稿日期:2009-09-25 出版日期:2011-07-20 发布日期:2011-07-20
  • 基金资助:

    Project supported by the NSFC (10971019); Scientific Research Fund of Guangxi Education Department (201012MS067); and USM Grant No.12.09.05.

INVERSE COEFFICIENT PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES

 LIU Zhen-Hai1, I.Szántò2   

  1. 1.Faculty of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China|2.Departamento de Matem´atica, Universidad T´ecnica Federico Santa Mar´?a, Casilla 110-V, Valpara´?so Chile
  • Received:2009-09-25 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    Project supported by the NSFC (10971019); Scientific Research Fund of Guangxi Education Department (201012MS067); and USM Grant No.12.09.05.

摘要:

This paper is devoted to the class of inverse problems for a nonlinear parabolic hemivariational inequality. The unknown coefficient of the operator depends on the gra-dient of the solution and belongs to a set of admissible coefficients. It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence. Based on this result the existence of a quasisolution of the inverse problem is obtained.

关键词: parabolic hemivariational inequalities, inverse coefficient problems, existence of quasisolutions

Abstract:

This paper is devoted to the class of inverse problems for a nonlinear parabolic hemivariational inequality. The unknown coefficient of the operator depends on the gra-dient of the solution and belongs to a set of admissible coefficients. It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence. Based on this result the existence of a quasisolution of the inverse problem is obtained.

Key words: parabolic hemivariational inequalities, inverse coefficient problems, existence of quasisolutions

中图分类号: 

  • 35R30