The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (244 KB) | Metadata | Table of Contents | ZAA summary
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