Inverse problem in nonstationary multidimensional medium

DOI10.1063/1.531753zbMath0863.35115OpenAlexW2072538108MaRDI QIDQ5284680

Boris Mikhaĭlovich Shevtsov

Publication date: 3 June 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531753

zbMATH Keywords

invariant imbedding methodremote sensingstatistical approachMarkov process approximationimpulsive sourcescalar wave propagationlayer stripping

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Inverse scattering problems in quantum theory (81U40)

Related Items (1)

Backscattering and inverse problem in random media

Cites Work

• Direct and inverse scattering in the time domain via invariant imbedding equations
• On the determination of a differential equation from its spectral function
• The One-Dimensional Inverse Problem of Reflection Seismology
• Invariant imbedding for the wave equation in three dimensions and the applications to the direct and inverse problems
• Application of the Schur algorithm to the inverse problem for a layered acoustic medium
• Differential Methods in Inverse Scattering
• Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
• Invariant imbedding and wave splitting in R ³  : II. The Green function approach to inverse scattering
• Propagation of transient electromagnetic waves in time-varying media-direct and inverse scattering problems

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