Differential and Integral Equations

On the large-time behavior of anisotropic Maxwell equations

G. Perla Menzala and Cleverson R. da Luz

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Abstract

Anisotropic Maxwell equations with electric conductivity are considered. Electromagnetic waves propagate in the exterior of a bounded connected obstacle with Lipschitz boundary. Our main result says that we can obtain uniform rates of decay of the total energy as $t \rightarrow + \infty$. No special requirements on the geometry of the obstacle are required. Previous results of this type were only given in the isotropic case. We use multipliers and properties of an associated evolution coupled system of first order.

Article information

Source
Differential Integral Equations Volume 22, Number 5/6 (2009), 561-574.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019606

Mathematical Reviews number (MathSciNet)
MR2501684

Zentralblatt MATH identifier
1240.35540

Subjects
Primary: 35Q60: PDEs in connection with optics and electromagnetic theory
Secondary: 35B40: Asymptotic behavior of solutions 78A25: Electromagnetic theory, general

Citation

da Luz, Cleverson R.; Perla Menzala, G. On the large-time behavior of anisotropic Maxwell equations. Differential Integral Equations 22 (2009), no. 5/6, 561--574. https://projecteuclid.org/euclid.die/1356019606.


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