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arXiv:1804.01252 [math.AP]AbstractReferencesReviewsResources

Prescribing a heat flux coming from a wave equation

Masaru Ikehata

Published 2018-04-04Version 1

What happens when one prescribes a heat flux which is proportional to the Neumann data of a solution of the wave equation in the whole space on the surface of a heat conductive body? It is shown that there is a difference in the asymptotic behaviour of the indicator function in the most recent version of the time domain enclosure method which aims at extracting information about an unknown cavity embedded in the body.

Comments: 19 pages
Journal: J. Inverse Ill-Posed Problems, 27(2019), No.5, 731-744
Categories: math.AP
Subjects: 35R30, 35L05
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