Oscillatory integrals with degenerate stationary points and their application to the scattering theory

DOI10.1080/03605308108820177zbMath0463.35049OpenAlexW1531837925MaRDI QIDQ3913776

Hideo Soga

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/03605308108820177

zbMATH Keywords

scattering problemsoscillatory integralsobstaclesscattering kerneldegenerate stationary points

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Hydro- and aero-acoustics (76Q05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Conjugate functions, conjugate series, singular integrals (42A50)

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Cites Work

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• 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
• Oscillatory integrals, lagrange immersions and unfolding of singularities