Martin-Luther-Universität Halle-Wittenberg

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5. Februar 2020

Ian Wood (University of Kent)

Essential Spectrum for Maxwell`s Equations

Abstract:

We study the essential spectrum of operator  pencils associated with anisotropic Maxwell equations with conductivity on  finitely connected unbounded domains. The main result is that the essential  spectrum of the Maxwell pencil is the union of two sets: namely, the spectrum of  a divergence form operator pencil, and the essential spectrum of the Maxwell  pencil with constant coefficients. This is joint work with G.Alberti, M.Brown  and M.Marletta.

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