Elastic waves in the half space \(R^2_+\)

DOI10.1016/0022-0396(78)90050-5zbMath0404.35066OpenAlexW2063757330MaRDI QIDQ1256649

John R. Schulenberger

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90050-5

zbMATH Keywords

ElasticityPlane WavesSurface WavesMixed ProblemEnergy Preserving Boundary ConditionsGeneralized Eigen- FunctionsNonzero Propagation Speeds

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Wave equation (35L05) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05) Waves in solid mechanics (74J99)

Related Items (10)

Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section ⋮ Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium) ⋮ Spectral analysis of a dissipative problem in electrodynamics: The Sommerfeld problem ⋮ Existence and uniqueness of a rayleigh surface wave propagating along the free boundary of a transversely isotropic elastic half space ⋮ Eigenfunction expansions for the equations of crystal optics in a half- space ⋮ Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media ⋮ Isomorphisms of hyperbolic systems and the aether ⋮ Electromagnetic waves in a three-dimensional half space with a dissipative boundary ⋮ On the structure of surface waves ⋮ Electromagnetic waves in a three-dimensional asymmetric dielectric slab waveguide

Cites Work

• Unnamed Item
• Unnamed Item
• Eigenfunction expansions for symmetric systems of first order in the half-space \(R^n\)
• Boundary waves on perfect conductors
• On conservative boundary conditions for operators of constant deficit: the Maxwell operator
• Purely imaginary scattering frequencies for exterior domains
• Coerciveness inequalities for nonelliptic systems of partial differential equations
• Comportement asymptotique de solutions de certains problèmes mixtes pour des systèmes hyperboliques symétriques à coefficients constants
• Eigenfunction expansions and scattering theory for wave propagation problems of classical physics
• Local boundary conditions for dissipative symmetric linear differential operators

This page was built for publication: Elastic waves in the half space \(R^2_+\)