Internal stabilization of Maxwell's equations in heterogeneous media-Reference-Cited by-同舟云学术

Internal stabilization of Maxwell's equations in heterogeneous media

Published:2005 Issue:7 Volume:2005 Page:791-811
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Nicaise Serge¹^ORCID,Pignotti Cristina²^ORCID

Affiliation:

1. MACS, Institut des Sciences et Techniques de Valenciennes, Université de Valenciennes et du Hainaut Cambrésis, Valenciennes Cedex 9 59313, France

2. Dipartimento di Matematica Pura e Applicata, Università di L'Aquila Via Vetoio, Loc. Coppito, L'Aquila 67010, Italy

Abstract

We consider the internal stabilization of Maxwell's equations with Ohm's law with space variable coefficients in a bounded region with a smooth boundary. Our result is mainly based on an observability estimate, obtained in some particular cases by the multiplier method, a duality argument and a weakening of norm argument, and arguments used in internal stabilization of scalar wave equations.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2005/204047.pdf

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Semi-uniform stabilization of anisotropic Maxwell's equations via boundary feedback on split boundary;Journal of Differential Equations;2024-06

2. Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary;Journal of Mathematical Analysis and Applications;2024-04

3. Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media;Journal de Mathématiques Pures et Appliquées;2023-11

4. Spectral analysis and domain truncation for Maxwell's equations;Journal de Mathématiques Pures et Appliquées;2023-02

5. Exponential Decay Caused by Conductivity;Oberwolfach Seminars;2022-07-05