A time-dependent approach to the inverse backscattering problem (Q2747519)
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scientific article; zbMATH DE number 1657900
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A time-dependent approach to the inverse backscattering problem |
scientific article; zbMATH DE number 1657900 |
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A time-dependent approach to the inverse backscattering problem (English)
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28 August 2002
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inverse backscattering problem
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Lax-Phillips theory of scattering
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singularities of backscattering data
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The recovery of the potential in the plasma-wave equation and of the wave speed in the variable-speed wave equation is considered in terms of the backscattering amplitude. For compactly supported potentials and also for wave speeds that may differ from a constant only within a bounded region, the author uses the Lax-Phillips theory in order to show that the recovery is unique. The author also provides an outline to recover the singularities of a potential from the singularities of its backscattering data.
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