Inverse scattering problem for transparent obstacles

DOI10.1017/S030500410006000XzbMath0504.35073MaRDI QIDQ4741108

Vesselin Petkov

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

transmission probleminverse scatteringfinite speed of propagation of the singularitiestransparent obstacles

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Scattering theory for PDEs (35P25) Wave equation (35L05)

Related Items (2)

High Frequency Asymptotics of the Filtered Scattering Amplitudes and the Inverse Scattering Problem for Dissipative Hyperbolic Systems, I ⋮ The leading singularity of the scattering kernel for a transparent obstacle

Cites Work

• The propagation of singularities along gliding rays
• Reflection of singularities of solutions to systems of differential equations
• Grazing rays and reflection of singularities of solutions to wave equations part II (systems)
• The scattering of sound waves by an obstacle
• Singularities of boundary value problems. I
• Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems

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