Spectral analysis of a dissipative problem in electrodynamics: The Sommerfeld problem
DOI10.1007/BF00046935zbMath0622.35007MaRDI QIDQ1090840
John R. Schulenberger, David S. Gilliam
Publication date: 1986
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
surveyelectrodynamicselectromagnetic wave propagationmaximal dissipative operatorgeneralized eigenfunction expansiondissipative problemsrepresentations of contraction semigroupsZenneck surface wave
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for first-order hyperbolic systems (35L45) Waves and radiation in optics and electromagnetic theory (78A40) Initial value problems for linear first-order PDEs (35F10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the structure of surface waves
- Electromagnetic waves in a three-dimensional asymmetric dielectric slab waveguide
- Boundary waves on perfect conductors
- Elastic waves in the half space \(R^2_+\)
- A simple problem for the scalar wave equation admitting surface-wave and AH-wave solutions
- Electromagnetic waves in a three-dimensional half space with a dissipative boundary
- Steady-state wave propagation in homogeneous anisotropic media
- Transient wave propagation in homogeneous anisotropic media
- The limiting absorption principle and spectral theory for steady-state wave propagation in inhomogeneous anisotropic media
- Remarks on an inequality of Schulenberger and Wilcox
- The Green's matrix for steady state wave propagation in a class of inhomogeneous anisotropic media
This page was built for publication: Spectral analysis of a dissipative problem in electrodynamics: The Sommerfeld problem