Boundary null controllability for the heat equation with dynamic boundary conditions (Q6162489)
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scientific article; zbMATH DE number 7696662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary null controllability for the heat equation with dynamic boundary conditions |
scientific article; zbMATH DE number 7696662 |
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Boundary null controllability for the heat equation with dynamic boundary conditions (English)
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15 June 2023
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The authors of this study are interested in the heat equation's boundary controllability under dynamic boundary conditions. The authors' key argument was that a boundary control supported by any arbitrary subboundary could control the equation's null state at any positive time. A novel boundary Carleman estimate, certain regularity estimates for the adjoint system, and an explicit dependency with respect to the final time are combined in the proof of the main conclusion.
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null controllability
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parabolic equations
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Carleman estimate
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dynamic boundary conditions
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surface diffusion
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