Properties of a quasi-uniformly monotone operator and its application to the electromagnetic p-curl systems |
| |
Authors: | Song Chang-Ho Ri Yong-Gon Sin Cholmin |
| |
Affiliation: | 1.Institute of Mathematics, Academy of Sciences, KwaHaK-dong, Unjong District, Pyongyang, Democratic People’s Republic of Korea ; |
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|