The Green's matrix for steady state wave propagation in a class of inhomogeneous anisotropic media

DOI10.1007/BF00281439zbMath0269.35033OpenAlexW2077240216MaRDI QIDQ2563248

John R. Schulenberger

Publication date: 1969

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281439

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Representations of solutions to partial differential equations (35C99)

Related Items (6)

Spectral analysis of a dissipative problem in electrodynamics: The Sommerfeld problem ⋮ Uniqueness theorems for a class of wave propagation problems ⋮ A Rellich uniqueness theorem for steady-state wave propagation in inhomogeneous anisotropic media ⋮ The limiting absorption principle and spectral theory for steady-state wave propagation in inhomogeneous anisotropic media ⋮ Completeness of the wave operators for perturbations of uniformly propagative systems ⋮ Uniform estimates of elementary solutions of first order systems of partial differential equations

Cites Work

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• Théorie des distributions à valeurs vectorielles
• Zur mathematischen Theorie akustischer Wellenfelder
• Wave operators and asymptotic solutions of wave propagation problems of classical physics
• Steady-state wave propagation in homogeneous anisotropic media
• Uniqueness theorems for a class of wave propagation problems
• Elektromagnetische Dipolfelder in nichthomogenen Medien
• Decay at Infinity of Solutions to Partial Differential Equations with Constant Coefficients

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