SIAM Journal on Mathematical Analysis, Volume 52, Issue 5, Page 4140-4160, January 2020.
We discuss a Steklov-type problem for Maxwell's equations which is related to an interior Calderón operator and an appropriate Dirichlet-to-Neumann map. The corresponding Neumann-to-Dirichlet map turns out to be compact, and this provides a Fourier basis of Steklov eigenfunctions for the associated energy spaces. With an approach similar to that developed by G. Auchmuty for the Laplace operator, we provide natural spectral representations for the appropriate trace spaces, for the Calderón operator itself, and for the solutions of the corresponding boundary value problems subject to electric or magnetic boundary conditions on a cavity.

中文翻译：

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关于麦克斯韦方程组的内部Calderón算子和相关的Steklov特征问题

SIAM数学分析期刊，第52卷，第5期，第4140-4160页，2020年1月。
我们讨论了麦克斯韦方程的Steklov型问题，该问题与内部Calderón算子和适当的Dirichlet-to-Neumann映射有关。相应的Neumann-to-Dirichlet映射被证明是紧凑的，这为关联的能量空间提供了Steklov特征函数的傅立叶基础。使用类似于G. Auchmuty为Laplace算子开发的方法，我们为适当的迹线空间，Calderón算子本身以及受电或磁边界条件影响的相应边值问题的解决方案提供了自然光谱表示。在空腔上。