Scattering of waves by periodically moving bodies

DOI10.1016/0022-1236(82)90105-7zbMath0494.35073OpenAlexW2085414313MaRDI QIDQ1169104

Jeffery Cooper, Walter A. Strauss

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90105-7

zbMATH Keywords

scattering matrixLax-Phillips theoryscattering frequenciesexterior of an obstacle

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Scattering theory of linear operators (47A40)

Related Items (15)

Unnamed Item ⋮ Scattering properties of wave equations with time-dependent potentials ⋮ Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials ⋮ Imaging a Moving Point Source from Multifrequency Data Measured at One and Sparse Observation Directions (Part I): Far-Field Case ⋮ Inverse scattering problem for the wave equation with time-dependent potential ⋮ Asymptotic behavior as \(t\to \infty\) of solutions of exterior mixed problems periodic with respect to t ⋮ Inverse scattering problem for moving obstacles ⋮ Global Strichartz estimates for the wave equation with time-periodic potentials ⋮ Exponential growth for the wave equation with compact time-periodic positive potential ⋮ On scattering by time-dependent potentials: the 2-D case ⋮ Linearizing non-linear inverse problems and an application to inverse backscattering ⋮ Unnamed Item ⋮ Scattering frequencies for the wave equation with a potential term ⋮ The leading singularity of a wave reflected by a moving boundary ⋮ Unnamed Item

Cites Work

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• The existence of the scattering operator for moving obstacles
• Local decay of solutions of the wave equation in the exterior of a moving body
• Scattering of plane waves by a moving obstacle
• Sur \(\square u+u^3=f\) dans un domaine noncylindrique
• Singularities of boundary value problems. I
• Uniform Asymptotic Estimates for Wave Packets in the Quantum Theory of Scattering
• Exponential decay of solutions of the wave equation
• Solutions of the wave equation with localized energy
• On the radiation field of pulse solutions of the wave equation. II

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