A General Inverse Problem for a Memory Kernel in One-Dimensional Viscoelasticity | Zendy

Jaan Janno | Zendy; Lothar von Wolfersdorf | Zendy

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A General Inverse Problem for a Memory Kernel in One-Dimensional Viscoelasticity

Author(s) -

Jaan Janno,

Lothar von Wolfersdorf

Publication year - 2002

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/1087

Subject(s) - kernel (algebra) , laplace transform , dimension (graph theory) , mathematics , uniqueness , inverse , inverse laplace transform , mathematical analysis , viscoelasticity , pure mathematics , physics , geometry , thermodynamics

A general inverse problem for the identification of a memory kernel in viscoelasticity in one space dimension is dealt with, where the kernel is represented by a finite sum of products of known spatially dependent functions and unknown time-dependent functions. Using the Laplace transform method an existence and uniqueness theorem for the memory kernel is proved.

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