Inverse Problems for Memory Kernels by Laplace Transform Methods | Zendy

Jaan Janno | Zendy; Lothar von Wolfersdorf | Zendy

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Inverse Problems for Memory Kernels by Laplace Transform Methods

Author(s) -

Jaan Janno,

Lothar von Wolfersdorf

Publication year - 2000

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/963

Subject(s) - laplace transform , inverse laplace transform , post's inversion formula , laplace–stieltjes transform , mathematics , inverse , two sided laplace transform , green's function for the three variable laplace equation , laplace transform applied to differential equations , calculus (dental) , mathematical analysis , fourier transform , geometry , medicine , fractional fourier transform , fourier analysis , dentistry

Basic inverse problems for identification of memory kernels in linear heat conduction and viscoelasticity in the infinite time interval (0,∞) 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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