On optimality conditions in some control problems for memory kernels in viscoelasticity (Q1315068)
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scientific article; zbMATH DE number 509985
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On optimality conditions in some control problems for memory kernels in viscoelasticity |
scientific article; zbMATH DE number 509985 |
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On optimality conditions in some control problems for memory kernels in viscoelasticity (English)
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29 May 1994
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Summary: The inverse problem of identifying the memory kernel in the stress- strain-relation of Boltzmann type for a rod is reduced to an optimal control problem with a quadratic cost functional in the state for the related integro-differential wave equation. For this problem, necessary optimality conditions are derived and transformed into explicit form by means and suitably defined adjoint state functions.
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identification
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inverse problem
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stress-strain-relation of Boltzmann type
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quadratic cost functional
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integro-differential wave equation
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adjoint state functions
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