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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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1569-3945
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Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case

Jaan Janno1 / Alfredo Lorenzi2

1Institute of Cybernetics and Institute of Mathematics, Tallinn UT, Estonia. E-mail:

2Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Italy. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 4, Pages 433–465, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2010.020, October 2010

Publication History

Received:
2009-10-10
Published Online:
2010-10-20

Abstract

In this paper we study two problems concerned with recovering memory kernels related to two sub-bodies Ω1 and Ω2 of an open thermal body under the assumptions that and is not accessible for the measurements. Additional measurements of temperature gradient or flux type are provided on Ω. In the first problem the memory kernel related to Ω1 is unknown and a single measurement is given. In the second problem both kernels are to be determined from two measurements on Ω. Making use of Laplace transforms, we prove the uniqueness for these identification problems in the infinite time interval (0, ∞).

Keywords.: Parabolic integrodifferential transmission problems; memory kernels; identification problems; uniqueness

Citing Articles

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[1]
Kairi Kasemets and Jaan Janno
Abstract and Applied Analysis, 2013, Volume 2013, Page 1

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