JournalszaaVol. 19, No. 2pp. 489–510

Inverse Problems for Memory Kernels by Laplace Transform Methods

  • Jaan Janno

    Tallin Technical University, Estonia
  • Lothar von Wolfersdorf

    Technische Universität, Freiberg, Germany
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Abstract

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.

Cite this article

Jaan Janno, Lothar von Wolfersdorf, Inverse Problems for Memory Kernels by Laplace Transform Methods. Z. Anal. Anwend. 19 (2000), no. 2, pp. 489–510

DOI 10.4171/ZAA/963