Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1993-12-31
On Optimality Conditions in some Control Problems for Memory Kernels in ViscoelasticityLothar von Wolfersdorf
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 of suitably defined adjoint state functions.
Keywords: Identification, optimal control, memorial kernels
von Wolfersdorf Lothar: On Optimality Conditions in some Control Problems for Memory Kernels in Viscoelasticity. Z. Anal. Anwend. 12 (1993), 745-750. doi: 10.4171/ZAA/532