Optimal boundary control of a nonlinear diffusion equation (Q2740882)
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scientific article; zbMATH DE number 1641536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal boundary control of a nonlinear diffusion equation |
scientific article; zbMATH DE number 1641536 |
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24 September 2001
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optimal control
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quasilinear parabolic equation
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boundary control
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Optimal boundary control of a nonlinear diffusion equation (English)
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The authors study an optimal control problem governed by a quasilinear parabolic equation. The control function is the heat transfer coefficient in a variational boundary condition. The authors prove the existence of an optimal control which minimizes a quadratic cost functional. The stability of the state variable with respect to the control variable is also studied.
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