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Zeitschrift für Analysis und ihre Anwendungen


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Volume 21, Issue 2, 2002, pp. 465–483
DOI: 10.4171/ZAA/1087

Published online: 2002-06-30

A General Inverse Problem for a Memory Kernel in One-Dimensional Viscoelasticity

Jaan Janno[1] and Lothar von Wolfersdorf

(1) Tallin Technical University, Estonia

A general inverse problem for the identification of a memory kernel in viscoelasticity in one space dimension 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.

Keywords: Inverse problems, memory kernels, viscoelasticity, Laplace transform

Janno Jaan, von Wolfersdorf Lothar: A General Inverse Problem for a Memory Kernel in One-Dimensional Viscoelasticity. Z. Anal. Anwend. 21 (2002), 465-483. doi: 10.4171/ZAA/1087