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.
Cite this article
Lothar von Wolfersdorf, On Optimality Conditions in some Control Problems for Memory Kernels in Viscoelasticity. Z. Anal. Anwend. 12 (1993), no. 4, pp. 745–750DOI 10.4171/ZAA/532