Travel Time and Heat Equation. One space dimensional case II
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0611449,
title = {Travel Time and Heat Equation. One space dimensional case II},
author = {Masaru Ikehata},
journal= {arXiv preprint arXiv:math/0611449},
year = {2007}
}
Comments
27pages