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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 13
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Articles

On the identification of the heat conductivity distribution from partial dynamic boundary measurements

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Pages 2735-2748 | Received 29 Nov 2018, Accepted 24 Nov 2019, Published online: 04 Dec 2019
 

ABSTRACT

This work deals with an inverse boundary value problem arising from the equation of heat conduction. We reconstruct small perturbations of the (isotropic) heat conductivity distribution from partial (on accessible part of the boundary) dynamic boundary measurements and for finite interval in time. By constructing of appropriate test functions, using a control method, we provide a rigorous derivation of the inverse Fourier transform of the perturbations in the diffusion coefficient as the leading order of an appropriate averaging of the partial dynamic boundary measurements.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

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