Singular support of the scattering kernel for the acoustic equation in inhomogeneous media

DOI10.1080/03605308408820338zbMath0555.35103OpenAlexW1965112450MaRDI QIDQ3218536

Hideo Soga

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/03605308408820338

zbMATH Keywords

acoustic scatteringinhomogeneous mediaobstacleLax-Phillips scattering theory

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25)

Related Items (1)

On the representation of the scattering kernel for the elastic wave equation

Cites Work

• Singular support of the scattering kernel for the wave equation perturbed in a bounded domain
• Asymptotic behavior at infinity for Green's functions of first order systems with characteristics of nonuniform multiplicity
• Fourier integral operators. I
• Oscillatory integrals with degenerate stationary points and their application to the scattering theory
• Representation of the scattering operator for dissipative hyperbolic systems
• The scattering of sound waves by an obstacle
• A representation formula for the scattering operator and the inverse problem for arbitrary bodies
• Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems
• Factorizations and fundamental solutions for differential operators of elliptic-hyperbolic type
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