Stability of the reconstruction of refraction coefficient for a horizontally stratified medium (Q2760674)
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scientific article; zbMATH DE number 1682222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the reconstruction of refraction coefficient for a horizontally stratified medium |
scientific article; zbMATH DE number 1682222 |
Statements
13 December 2001
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inverse spectral problem
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point source
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Helmholtz equation
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reconstruction of refraction coefficient
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layered inhomogeneous medium
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acoustic field
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normal wave method
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Sturm-Liouville equation
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spectral function
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stability estimates
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Stability of the reconstruction of refraction coefficient for a horizontally stratified medium (English)
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The problem of reconstruction of refraction coefficient is studied for a layered inhomogeneous medium, assuming that the acoustic field is known at some points. Using the normal wave method, the author reduces this problem to the construction of a coefficient in Sturm--Liouville equation on a finite interval if the spectral function and one boundary condition are known. Stability estimates are obtained.
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0.7873203158378601
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0.7841466665267944
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0.7737950086593628
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