A generalized truncation method for multivalued parabolic problems

• UKO Livinus U.

  Departamiento de Matematicas Facultad de Ciencias Exactas y N Unversidad de Antioquia

Bibliographic Information

Other Title

• generalized truncation method for multi

Abstract

The generalized truncation method (formerly referred to as the proximal correction method) was recently introduced for the time-discretization of parabolic variational inequalities. The main attraction of the method-which generalizes the truncation method developed by A. Berger for obstacle problems-is the fact that the problems to be solved at each time step are elliptic equations rather than elliptic variational inequalities.<br>In this paper we apply the new method to a class of problems which includes parabolic variational inequalities as a special case. The convergence results which we obtain in this general context also give rise to new results when applied to the special case of variational inequalities.<br>We also discuss the applications of our results to several problems that occur in various branches of applied Mathematics.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 50 (3), 719-735, 1998

  The Mathematical Society of Japan

Keywords

• General Mathematics

Details

• CRID: 1390001205115978624
• NII Article ID: 10002151049
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05030719
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1626358
• NDL BIB ID: 4528271
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4528271
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed