A note on a Cauchy problem for the Laplace equation: Regularization and error estimates (Q613213)
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scientific article; zbMATH DE number 5828073
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a Cauchy problem for the Laplace equation: Regularization and error estimates |
scientific article; zbMATH DE number 5828073 |
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A note on a Cauchy problem for the Laplace equation: Regularization and error estimates (English)
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20 December 2010
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An elliptic problem (Laplace equation) is investigated. The authors solve this problem by the truncation method. The well-posedness of the proposed regularizing problem and the convergence property of the regularizing solution to the exact one are proved. Error estimates for this method are provided together with a selection rule for the regularization parameter.
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elliptic equation
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contraction principle
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regularization
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ill-posed problem
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Cauchy problem
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Laplace equation
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truncation method
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error estimates
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convergence
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