论文标题
在电磁学中的Steklov频谱上
On a Steklov spectrum in Electromagnetics
论文作者
论文摘要
在介绍了有关经典steklov本本特征问题的各种概念和结果之后，我们重点介绍了腔中时谐波麦克斯韦方程的类似问题。在这个方向上，我们讨论了有关Curlcurl操作员自然的Steklov边界价值问题的最新严格结果。此外，我们通过使用经典的矢量球形谐波来明确计算三维欧几里得空间的单位球中的特征值和特征功能。
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.
