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Penalty method for a class of differential variational inequalities.
- Source :
-
Applicable Analysis . Jun2021, Vol. 100 Issue 7, p1574-1589. 16p. - Publication Year :
- 2021
-
Abstract
- The purpose of this paper is to investigate a class of differential variational inequalities involving a constraint set in Banach spaces. A well-posedness result for the inequality is obtained, including the existence, uniqueness, and stability of the solution in mild sense. Further, we introduce a penalized problem without constraints and prove that the solution to the original inequality can be approached, as a parameter converges to zero, by the solution of the penalized problem. Finally, an application to a comprehensive obstacle parabolic-elliptic system delineates the abstract results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*DIFFERENTIAL inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 100
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 150006673
- Full Text :
- https://doi.org/10.1080/00036811.2019.1652736