Uniqueness and stability of solutions for a type of parabolic boundary value problem (Q914059)
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scientific article; zbMATH DE number 4148706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness and stability of solutions for a type of parabolic boundary value problem |
scientific article; zbMATH DE number 4148706 |
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Uniqueness and stability of solutions for a type of parabolic boundary value problem (English)
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1989
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We consider a boundary value problem consisting of the one-dimensional parabolic equation \(gu_ t=(hu_ x)_ x+q\), where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than for the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.
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stability
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maximum principle
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uniqueness
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nonnegative solution
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0.9497135
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0.9352766
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