Prescribing a heat flux coming from a wave equation
Analysis of PDEs
2021-03-09 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1804.01252,
title = {Prescribing a heat flux coming from a wave equation},
author = {Masaru Ikehata},
journal= {arXiv preprint arXiv:1804.01252},
year = {2021}
}
Comments
19 pages, the final version