On an inverse problem for the identification of the coefficients of a multidimensional parabolic equation (Q2716175)
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scientific article; zbMATH DE number 1602244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an inverse problem for the identification of the coefficients of a multidimensional parabolic equation |
scientific article; zbMATH DE number 1602244 |
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6 June 2001
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unknown coefficient
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parabolic equation
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Fourier transformation
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local existence
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uniqueness
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On an inverse problem for the identification of the coefficients of a multidimensional parabolic equation (English)
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In the multidimensional Euclidean space \(E_m\) the authors consider a parabolic differential equation in general form with unknown coefficient at the first derivative of the solution. The Cauchy condition and the value of the solution to this equation in an \(m-1\) dimensional subspace are given. By Fourier transformation method the authors prove the ``local'' existence and uniqueness of a solution to the considered coefficient inverse problem.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00006].
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0.9034793376922609
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