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Identification of a special class of memory kernels in one-dimensional heat flow

Identification of a special class of memory kernels in one-dimensional heat flow Abstract - We consider the inverse problem of identification of memory kernels in one-dimensional heat flow are dealt with where the kernel is represented by a finite sum of products of known spatially-dependent functions and unknown time-dependent functions. As additional conditions for the inverse problems observations of both heat flux and temperature are prescribed. Using the Laplace transform method we prove an existence and uniqueness theorem for the memory kernel. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Inverse and III-posed Problems de Gruyter

Identification of a special class of memory kernels in one-dimensional heat flow

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Publisher
de Gruyter
Copyright
Copyright © 2001 by the
ISSN
0928-0219
eISSN
1569-3945
DOI
10.1515/jiip.2001.9.4.389
Publisher site
See Article on Publisher Site

Abstract

Abstract - We consider the inverse problem of identification of memory kernels in one-dimensional heat flow are dealt with where the kernel is represented by a finite sum of products of known spatially-dependent functions and unknown time-dependent functions. As additional conditions for the inverse problems observations of both heat flux and temperature are prescribed. Using the Laplace transform method we prove an existence and uniqueness theorem for the memory kernel.

Journal

Journal of Inverse and III-posed Problems – de Gruyter

Published: Aug 1, 2001

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