Uniqueness of time-dependent inclusions in anisotropic heat conductive bodies
Analysis of PDEs
2022-01-24 v1
Abstract
We consider an inverse boundary value problem for the heat equation with a nonsmooth coefficient of conductivity which models the displacement of a moving body inside a nonhomogeneous background. We prove the uniqueness of the moving inclusion from the knowledge of the Dirichlet-to-Neumann operator by using a dynamical probe method.
Keywords
Cite
@article{arxiv.2201.08722,
title = {Uniqueness of time-dependent inclusions in anisotropic heat conductive bodies},
author = {Olivier Poisson},
journal= {arXiv preprint arXiv:2201.08722},
year = {2022}
}
Comments
29 pages