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Zeitschrift für Analysis und ihre Anwendungen

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Volume 19, Issue 2, 2000, pp. 489–510
DOI: 10.4171/ZAA/963

Published online: 2000-06-30

Inverse Problems for Memory Kernels by Laplace Transform Methods

Jaan Janno[1] and Lothar von Wolfersdorf

(1) Tallin Technical University, Estonia

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.

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

Janno Jaan, von Wolfersdorf Lothar: Inverse Problems for Memory Kernels by Laplace Transform Methods. Z. Anal. Anwend. 19 (2000), 489-510. doi: 10.4171/ZAA/963