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On Optimality Conditions in some Control Problems for Memory Kernels in Viscoelasticity
Author(s) -
Lothar von Wolfersdorf
Publication year - 1993
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/532
Subject(s) - viscoelasticity , mathematics , control (management) , computer science , control theory (sociology) , materials science , artificial intelligence , composite material
1'he 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 integrodifferential wave equation. For this problem necessary optimality conditions are derived and transformed into explicit form by means of suitably defined adjoint state functions.

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