Basic inverse problems for identification of memory kernels in linear heat conduction and viscoelasticity in the infinite time interval (0;1) are treated by Laplace transform method in coupling with Fourier’s method for the direct initial-boundary value problem of the corresponding integro-differential equation. Under suitable assumptions on the data existence and uniqueness of the memory kernel are shown.
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Jaan Janno, Lothar von Wolfersdorf, Inverse Problems for Memory Kernels by Laplace Transform Methods. Z. Anal. Anwend. 19 (2000), no. 2, pp. 489–510DOI 10.4171/ZAA/963