The Pareto optimality for a system governed by a nonlinear equation of parabolic type (Q1333671)
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scientific article; zbMATH DE number 640197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Pareto optimality for a system governed by a nonlinear equation of parabolic type |
scientific article; zbMATH DE number 640197 |
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The Pareto optimality for a system governed by a nonlinear equation of parabolic type (English)
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5 October 1994
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Consider the controlled parabolic equation \(y'- \Delta y+ | y|^ p= \nu\) with boundary and initial value conditions, where \(v\) is a control and a vector valued performance functional where the components are integral terms. Optimality conditions for Pareto optimal controls are proved. The theory of Clarke's generalized gradients is applied.
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infinite-dimensional optimization
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optimality conditions
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parabolic equation
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Pareto optimal controls
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