On an Interior Calderón Operator and a Related Steklov Eigenproblem for Maxwell's Equations
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Publication:5124632
DOI10.1137/19M1251370zbMath1448.35498arXiv2007.10765MaRDI QIDQ5124632
Pier Domenico Lamberti, Ioannis G. Stratis
Publication date: 30 September 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.10765
PDEs in connection with optics and electromagnetic theory (35Q60) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Maxwell equations (35Q61)
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Cites Work
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- The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
- Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
- Mathematical foundations of computational electromagnetism
- Comparison results for eigenvalues of curl curl operator and Stokes operator
- The exterior Calderón operator for non-spherical objects
- Spectral geometry of the Steklov problem (survey article)
- Convergence of the Dirichlet-to-Neumann Operator on Varying Domains
- Stekloff Eigenvalues in Inverse Scattering
- Viewing the Steklov Eigenvalues of the Laplace Operator as Critical Neumann Eigenvalues
- The Legacy of Vladimir Andreevich Steklov
- 5. Eigenvalue problems in inverse electromagnetic scattering theory
- Spectral Characterization of the Trace Spaces ${H^s({\partial \Omega})}$
- Regularity theorems for Maxwell's equations
- Maxwell and Lamé eigenvalues on polyhedra
- On the linear force-free fields in bounded and unbounded three-dimensional domains
- Electromagnetic Stekloff Eigenvalues in Inverse Scattering
- Modified transmission eigenvalues in inverse scattering theory
- Finite Element Methods for Maxwell's Equations
- Functional optimality of the sulcus pattern of the human brain
- Analysis of a Trace Class Stekloff Eigenvalue Problem Arising in Inverse Scattering
- Acoustic and electromagnetic equations. Integral representations for harmonic problems