Singularities of the scattering kernel for two convex obstacles

DOI10.2977/prims/1195173609zbMath0699.35202OpenAlexW2146606287MaRDI QIDQ913136

Shin-ichi Nakamura

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173609

zbMATH Keywords

singularitiesscattering kerneltwo finite convex obstacles

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05)

Cites Work

• Characterization of a convex obstacle by singularities of the scattering kernel
• Singularities of the scattering kernel for two balls
• Decay of solutions of the wave equation in the exterior of two convex obstacles
• Asymptotic behavior at infinity for Green's functions of first order systems with characteristics of nonuniform multiplicity
• Sojourn times and asymptotic properties of the scattering matrix
• Conditions against rapid decrease of oscillatory integrals and their applications to inverse scattering problems
• Singularities of the scattering kernel for convex obstacles
• High frequency asymptotics of the scattering amplitude for non-convex bodies
• Oscillatory integrals with degenerate stationary points and their application to the scattering theory
• Grazing rays and reflection of singularities of solutions to wave equations
• A representation formula for the scattering operator and the inverse problem for arbitrary bodies
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Singularities of the scattering kernel for two convex obstacles