Controllability and observability of a heat equation with hyperbolic memory kernel (Q1032882)
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scientific article; zbMATH DE number 5625447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Controllability and observability of a heat equation with hyperbolic memory kernel |
scientific article; zbMATH DE number 5625447 |
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Controllability and observability of a heat equation with hyperbolic memory kernel (English)
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5 November 2009
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The authors consider exact controllability and observability for a heat equation with hyperbolic memory kernel in anisotropic and nonhomogeneous media. By means of Carleman estimate, they establish a positive controllability and observability result under some geometric condition. When this geometric condition is not satisfied they present a negative controllability and observability result.
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heat equation with memory
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controllability
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observability estimate
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Carleman estimate
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highly concentrated approximate solution
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0.9557029
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0.9433111
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0.93415534
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0.93319976
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0.93252385
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