A backward parabolic equation with a time-dependent coefficient: regularization and error estimates (Q455877)
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scientific article; zbMATH DE number 6097317
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A backward parabolic equation with a time-dependent coefficient: regularization and error estimates |
scientific article; zbMATH DE number 6097317 |
Statements
A backward parabolic equation with a time-dependent coefficient: regularization and error estimates (English)
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22 October 2012
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The paper considers the backward parabolic equation with time-dependent coefficients in one space dimension. Based on an analytic formula of the exact solution, a regularized solution is proposed. Under suitable conditions for the exact solution, an error estimate between the exact solution and the regularized solution is proved. Numerical results are provided.
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backward problem
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ill-posed problem
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nonhomogeneous parabolic equation
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time-dependent coefficient
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regularization
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backward parabolic equation
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error estimate
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numerical results
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