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Mathematics > Analysis of PDEs

arXiv:2206.00505 (math)
[Submitted on 1 Jun 2022 (v1), last revised 17 Jun 2022 (this version, v2)]

Title:On a Steklov spectrum in Electromagnetics

Authors:Francesco Ferraresso, Pier Domenico Lamberti, Ioannis G. Stratis
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Abstract:After presenting various concepts and results concerning the classical Steklov eigenproblem, we focus on analogous problems for time-harmonic Maxwell's equations in a cavity. In this direction, we discuss recent rigorous results concerning natural Steklov boundary value problems for the curlcurl operator. Moreover, we explicitly compute eigenvalues and eigenfunctions in the unit ball of the three-dimensional Euclidean space by using classical vector spherical harmonics.
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA)
MSC classes: 35P15, 35Q61, 78M22
Cite as: arXiv:2206.00505 [math.AP]
  (or arXiv:2206.00505v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2206.00505

Submission history

From: Francesco Ferraresso [view email]
[v1] Wed, 1 Jun 2022 14:04:57 UTC (56 KB)
[v2] Fri, 17 Jun 2022 10:50:01 UTC (56 KB)
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