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.
Cite this article
Jaan Janno, Lothar von Wolfersdorf, A General Inverse Problem for a Memory Kernel in One-Dimensional Viscoelasticity. Z. Anal. Anwend. 21 (2002), no. 2, pp. 465–483DOI 10.4171/ZAA/1087