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Travel Time and Heat Equation. One space dimensional case II

Masaru Ikehata
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Abstract

Three inverse boundary value problems for the heat equations in one space dimension are considered. Those three problems are: extracting an unknown interface in a heat conductive material, an unknown boundary in a layered material or a material with a smooth heat conductivity by employing a single set of the temperature and heat flux on a known boundary as the observation data. Some extraction formulae of those discontinuities which suggest a relationship between the travel time of a {\it virtual} signal and the observation data are given by applying the enclosure method to the problems.

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Masaru Ikehata. 2006-11-15. Travel Time and Heat Equation. One space dimensional case II. https://arxiv.org/abs/math/0611449

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