On a Steklov spectrum in Electromagnetics

Autor:	Ferraresso, Francesco, Lamberti, Pier Domenico, Stratis, Ioannis G.
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Classical Analysis and ODEs 35P15 35Q61 78M22
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.00505 Zobrazit plný text záznamu View this record from Arxiv