On optimality conditions in some control problems for memory kernels in viscoelasticity
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.
stress-strain-relation of Boltzmann type
scientific article; zbMATH DE number 509985