A formulation for higher dimensional inverse problems for the wave equation

DOI10.1016/0898-1221(81)90061-4zbMath0465.35083OpenAlexW2006559310MaRDI QIDQ1154614

Cathleen Synge Morawetz

Publication date: 1981

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(81)90061-4

zbMATH Keywords

potentialplane wavesinverse scattering problemsalgorithm for iterationback scatteringhigher dimensional inverse problems

Mathematics Subject Classification ID

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

Related Items (8)

Layer-stripping solutions of multidimensional inverse scattering problems ⋮ Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials ⋮ Three-dimensional inverse scattering: Plasma and variable velocity wave equations ⋮ Inverse scattering in dimension two ⋮ The connection between time- and frequency-domain three-dimensional inverse scattering methods ⋮ Inverse scattering problem for the wave equation with time-dependent potential ⋮ Boundary control, wave field continuation and inverse problems for the wave equation ⋮ Differential and integral methods for multidimensional inverse scattering problems

Cites Work

• The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
• Inverse problem of quantum scattering theory. II
• On the determination of a differential equation from its spectral function
• Inverse scattering on the line
• On the radiation field of pulse solutions of the wave equation. II

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