Stability of the anisotropic Maxwell equations with a conductivity term

Matthias Eller · Evolution equations and control theory · 2019

The dynamic Maxwell equations with a conductivity term are considered. Conditions for the exponential and strong stability of an initial-boundary value problem are given. The permeability and the permittivity are assumed to be $ 3\times 3 $ symmetric, positive definite tensors. A result concerning solutions of higher regularity is obtained along the way.

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