Characterization of a convex obstacle by singularities of the scattering kernel

DOI10.1016/0022-0396(86)90076-8zbMath0611.35066OpenAlexW2067675539MaRDI QIDQ1087736

Kazuhiro Yamamoto

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90076-8

zbMATH Keywords

wave equationsingularitiesconvexityexterior domainobstaclescattering kernel

Mathematics Subject Classification ID

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

Related Items

Singularities of the Scattering Kernel and Scattering Invariants for Several Strictly Convex Obstacles ⋮ Singularities of the scattering kernel for two convex obstacles ⋮ On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain

Cites Work

• Conditions against rapid decrease of oscillatory integrals and their applications to inverse scattering problems
• Singularities of the scattering kernel for convex obstacles
• Singularities of boundary value problems. II
• Oscillatory integrals with degenerate stationary points and their application to the scattering theory
• A representation formula for the scattering operator and the inverse problem for arbitrary bodies
• Singularities of boundary value problems. I
• Unnamed Item
• Unnamed Item