On the inverse scattering problem for the acoustic equation (Q1121456)
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scientific article; zbMATH DE number 4103612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the inverse scattering problem for the acoustic equation |
scientific article; zbMATH DE number 4103612 |
Statements
On the inverse scattering problem for the acoustic equation (English)
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1987
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According to \textit{P. Lax} and \textit{R. Phillips} [Scattering theory (1967; Zbl 0186.16301)], the scattering operator associated with the wave equation in an exterior domain \(\Omega\), subject to zero Dirichlet boundary conditions, uniquely determines the obstacle \({\mathbb{R}}^ n\setminus \Omega\). The author studies here the problem of determining, in case of a metric perturbation for the wave equation in \({\mathbb{R}}^ n\), the metric uniquely.
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scattering operator
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exterior domain
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zero Dirichlet boundary conditions
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obstacle
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perturbation
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