Article Dans Une Revue Research in the Mathematical Sciences Année : 2021

SEMICLASSICAL PARAMETRIX FOR THE MAXWELL EQUATION AND APPLICATIONS TO THE ELECTROMAGNETIC TRANSMISSION EIGENVALUES

Résumé

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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hal-03143832 , version 1 (17-02-2021)

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Georgi Vodev. SEMICLASSICAL PARAMETRIX FOR THE MAXWELL EQUATION AND APPLICATIONS TO THE ELECTROMAGNETIC TRANSMISSION EIGENVALUES. Research in the Mathematical Sciences , 2021, 8 (3). ⟨hal-03143832⟩
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