Asymptotic wave functions and energy distributions in strongly propagative anisotropic media

zbMath0409.35064MaRDI QIDQ1258901

Calvin H. Wilcox

Publication date: 1978

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Spectral TheoryScattering TheoryGauss MapAcoustoelectromagnetic WavesAsymptotic Behaviour of the Propagating StateAsymptotic Energy DistributionsAsymptotic Wave FunctionElastic Waves in Anisotropic Homogeneous MaterialsElectromagnetic Waves in CrystalsPerturbation Theory for Eigenvalue ProblemsSymmetric Hyperbolic SystemsWave Propagations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Hyperbolic conservation laws (35L65) Diffraction, scattering (78A45) Initial value problems for first-order hyperbolic systems (35L45) Waves in solid mechanics (74J99) Scattering theory of linear operators (47A40)

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Energy splitting for solutions of multi-dimensional isotropic symmetric hyperbolic systems ⋮ Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization ⋮ Eigenfunction expansions for the equations of crystal optics in a half- space ⋮ Spectral theory of first-order systems: From crystals to Dirac operators ⋮ Unnamed Item

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