Uniqueness of the solution of an inverse problem for a quasilinear parabolic equation in divergence form (Q910578)
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scientific article; zbMATH DE number 4140318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of the solution of an inverse problem for a quasilinear parabolic equation in divergence form |
scientific article; zbMATH DE number 4140318 |
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Uniqueness of the solution of an inverse problem for a quasilinear parabolic equation in divergence form (English)
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1988
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Summary: The quasilinear parabolic differential equation \(u_ t=div(a(u)\text{grad} u)\) with a constant initial condition and a boundary condition of the first kind is considered where a is a positiv analytic function of u. Under some additional assumptions on u a uniqueness theorem for the determination of the coefficient a is proved.
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uniqueness
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solution
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inverse problem
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quasilinear parabolic equation
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