On an integral equation related to an inverse problem in magnetocardiography (Q1328466)
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scientific article; zbMATH DE number 611159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an integral equation related to an inverse problem in magnetocardiography |
scientific article; zbMATH DE number 611159 |
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On an integral equation related to an inverse problem in magnetocardiography (English)
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28 May 1995
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The authors study an integral equation of the first kind which arises in magnetocardiography by the use of the Biot-Savart law. The ill-posedness of the problem is quantified by showing the super exponential decay of the singular values of the integral operator. Under simplifying geometrical assumptions, which lead to a one-dimensional convolution problem on the unit circle, a stability result is proved, using an additional bound on the derivative of the solution.
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inverse problem
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magnetocardiography
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Biot-Savart law
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super exponential decay
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singular values
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integral operator
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convolution problem
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stability
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0.89516443
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0.88949233
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0.8792751
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