On the semigroup approach for the optimal control of semilinear parabolic equations including distributed and boundary control (Q1824196)
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scientific article; zbMATH DE number 4117316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the semigroup approach for the optimal control of semilinear parabolic equations including distributed and boundary control |
scientific article; zbMATH DE number 4117316 |
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On the semigroup approach for the optimal control of semilinear parabolic equations including distributed and boundary control (English)
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1989
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Summary: The concept of mild solutions and the variation of constants formula are applied to derive first-order necessary conditions for optimal control problems governed by semilinear parabolic initial-boundary value problems. An adjoint system is defined by means of an abstract integral equation, the solution of the latter being a mild solution of an adjoint parabolic equation.
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mild solutions
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first-order necessary conditions
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semilinear parabolic initial-boundary value problems
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adjoint parabolic equation
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