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Properties of a quasi-uniformly monotone operator and its application to the electromagnetic p-curl systems.
- Source :
-
Applications of Mathematics . Aug2022, Vol. 67 Issue 4, p431-444. 14p. - Publication Year :
- 2022
-
Abstract
- In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation Au = b. We prove that if A is a quasi-uniformly monotone and hemi-continuous operator, then A−1 is strictly monotone, bounded and continuous, and thus the Galerkin approximations converge. Also we show an application of a quasi-uniformly monotone and hemi-continuous operator to the proof of the well-posedness and convergence of Galerkin approximations to the solution of steady-state electromagnetic p-curl systems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR operators
*OPERATOR equations
*NONLINEAR equations
Subjects
Details
- Language :
- English
- ISSN :
- 08627940
- Volume :
- 67
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Applications of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 157613402
- Full Text :
- https://doi.org/10.21136/AM.2021.0365-20