An inverse problem for identification of a time- and space-dependent memory kernel in viscoelasticity
Jaan JannoInstitute of Cybernetics, Tallinn Technical University, 12618 Tallinn, EstoniaLothar von WolfersdorfFakultät für Mathematik und Informatik, TU Bergakademie Freiberg, D-09596 Freiberg, Germany
2000en
ABI
Abstract
In this paper an inverse problem for the identification of a memory kernel in viscoelasticity is dealt with, where the kernel is represented by a finite sum of products of known spatially dependent functions and unknown time-dependent functions. Using the Laplace transform method an existence and uniqueness theorem for the memory kernel is proved.
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