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An identification problem for a linear integrodifferential equation occurring in heat flow

✍ Scribed by Maurizio Grasselli

Publisher: John Wiley and Sons
Year: 1992
Tongue: English
Weight: 837 KB
Volume: 15
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670150304

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✦ Synopsis

Abstract

A linear integrodifferential equation describing the heat flow in a material with memory is considered. This equation contains a pair of time‐dependent convolution kernels that are unknown. Such kernels are recovered by using an overdetermined set of data. A local existence theorem for small times and the continuous dependence of the solutions on the data are shown.

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