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Properties of a quasi-uniformly monotone operator and its application to the electromagnetic $p$-$\text{curl}$ systems
- Source :
- Applications of Mathematics. 67:431-444
- Publication Year :
- 2021
- Publisher :
- Institute of Mathematics, Czech Academy of Sciences, 2021.
-
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.
Details
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- Applications of Mathematics
- Accession number :
- edsair.doi...........2a2a6179bc71c723911162d4622de785