Inverse scattering problem for the wave equation with time-dependent potential

DOI10.1016/0022-247X(89)90069-3zbMath0693.35159MaRDI QIDQ908439

Plamen D. Stefanov

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

potentialinverse scatteringasymptotic wave profile

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Wave equation (35L05)

Related Items (8)

Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials ⋮ Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation ⋮ A uniqueness result for light ray transform on symmetric 2-tensor fields ⋮ Unnamed Item ⋮ An inverse problem for the relativistic Schrödinger equation with partial boundary data ⋮ Determining the time-dependent matrix potential in a wave equation from partial boundary data ⋮ Stability for a Formally Determined Inverse Problem for a Hyperbolic PDE with Space and Time Dependent Coefficients ⋮ Wave scattering by time-dependent potentials

Cites Work

• A formulation for higher dimensional inverse problems for the wave equation
• Scattering of waves by periodically moving bodies
• Inverse problem of quantum scattering theory. II
• Scattering of plane waves by a moving obstacle
• Time dependent approach to the inverse scattering problem for wave equations with time dependent coefficients
• Inverse scattering. II. Three dimensions
• On the inverse problem for three-dimensional potential scattering
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