Article

Inverse Problems for Identification of Memory Kernels in Viscoelasticity

Jaan JannoEstonian Acad. Sci., Inst. of Cybernetics, EE-0026 Tallinn, EstoniaLothar von WolfersdorfTU Bergakademie Freiberg, Fakultät für Mathematik und Informatik, D-09596 Freiberg, Germany

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Abstract

Inverse problems for identification of the memory kernel in the linear constitutive stress–strain relation of Boltzmann type are reduced to a non-linear Volterra integral equation using Fourier's method for solving the direct problem. To this equation the contraction principle in weighted norms is applied. In this way global existence of a solution to the inverse problem is proved and stability estimates for it are derived. © 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.

Identifiers

DOI: 10.1002/(sici)1099-1476(19970310)20:4<291::aid-mma860>3.0.co;2-w

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Cited by 290 references

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