Null controllability of a nonlinear heat equation (Q700886)
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scientific article; zbMATH DE number 1814785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Null controllability of a nonlinear heat equation |
scientific article; zbMATH DE number 1814785 |
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Null controllability of a nonlinear heat equation (English)
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15 October 2002
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Summary: We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed-point theorem and the Carleman estimates for the backward adjoint linearized system. The result extends to the case of boundary control.
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internal control
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boundary control
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Kakutani fixed-point theorem
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Carleman estimates
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backward adjoint linearized system
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