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arXiv · 2102.08662

Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues

Georgi Vodev
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Abstract

We introduce an analog of the Dirichlet-to-Neumann map for the Maxwell equation in a bounded domain. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol. As a consequence, we obtain a parabolic region free of the transmission eigenvalues associated to the Maxwell equation.

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Georgi Vodev. 2021-02-17. Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues. https://arxiv.org/abs/2102.08662

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