In this article we prove the existence, uniqueness and asymptotic behaviour of the solutions for an electromagnetic non-homogeneous medium, which is characterized by a rate-type equation for the electric conduction and by dissipative boundary conditions. A domain of dependence inequality is derived and the exponential decay of the solutions is proved by the methods of the semi-group theory.
On the stability for a rate-type conducting medium
AMENDOLA, GIOVAMBATTISTA
2003-01-01
Abstract
In this article we prove the existence, uniqueness and asymptotic behaviour of the solutions for an electromagnetic non-homogeneous medium, which is characterized by a rate-type equation for the electric conduction and by dissipative boundary conditions. A domain of dependence inequality is derived and the exponential decay of the solutions is proved by the methods of the semi-group theory.File in questo prodotto:
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