On uniqueness in inverse problems for semilinear parabolic equations (Q1309703)
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scientific article; zbMATH DE number 474498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniqueness in inverse problems for semilinear parabolic equations |
scientific article; zbMATH DE number 474498 |
Statements
On uniqueness in inverse problems for semilinear parabolic equations (English)
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4 January 1994
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Using his results on completeness of products of solutions of parabolic equations and a linearization method, the author proves uniqueness theorems for the term \(a = a(x,u)\) of the semilinear parabolic equation \(u_ t - \Delta u + a(x,u) = 0\), given results on all possible (lateral) boundary measurements. It is emphasized that the problem considered is multidimensional.
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uniqueness
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lateral measurements
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