On optimality conditions in some control problems for memory kernels in viscoelasticity
type: Item
instance of: scholarly article
title: On optimality conditions in some control problems for memory kernels in viscoelasticity
zbMATH Open document ID: 0787.73034
DOI: 10.4171/ZAA/532
author: Lothar von Wolfersdorf
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1994-05-29T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 509985
zbMATH Keywords: identification
zbMATH Keywords: inverse problem
zbMATH Keywords: stress-strain-relation of Boltzmann type
zbMATH Keywords: quadratic cost functional
zbMATH Keywords: integro-differential wave equation
zbMATH Keywords: adjoint state functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 509985