Relation Between Scattering Theories of the Wilcox and Lax–Phillips Types and a Concrete Construction of the Translation Representation

DOI10.1081/PDE-120024374zbMath1226.35054MaRDI QIDQ4421474

Wakako Kawashita, Hideo Soga, Mishio Kawashita

Publication date: 27 August 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Abstract hyperbolic equations (35L90) Scattering theory of linear operators (47A40)

Related Items (2)

Asymptotic behavior of stationary solutions to elastic wave equations in a perturbed half‐space in ℝ³ ⋮ Scattering theory for the elastic wave equation in perturbed half-spaces

Cites Work

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• Scattering theory for the elastic wave equation
• ASYMPTOTIC SOLUTIONS OF THE ELASTIC EQUATION IN THE CASE OF TOTAL REFLECTION
• Scattering of elastic waves in a perturbed isotropic half space with a free boundary. The limiting absorption principle
• A representation formula for the scattering operator and the inverse problem for arbitrary bodies
• Exponential energy decay of solutions of elastic wave equations with the Dirichlet condition.
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)

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