The leading singularity of a wave reflected by a moving boundary

DOI10.1016/0022-0396(84)90176-1zbMath0547.35075OpenAlexW2014420474MaRDI QIDQ798880

Jeffery Cooper, Walter A. Strauss

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90176-1

zbMATH Keywords

wavefrontpropagation of singularitiesmoving obstacle

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Analyticity in context of PDEs (35A20)

Related Items (4)

The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds ⋮ Unnamed Item ⋮ Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials ⋮ Inverse scattering problem for moving obstacles

Cites Work

• Unnamed Item
• Scattering of waves by periodically moving bodies
• Reflection of singularities of solutions to the wave equation and the leading singularity of the scattering kernel
• The scattering of sound waves by an obstacle
• A representation formula for the scattering operator and the inverse problem for arbitrary bodies

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