Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation
Analysis of PDEs
2007-06-12 v1
Abstract
For the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient. The key ingredients are a global Carleman-type estimate, a Poincar\'e-type estimate and an energy estimate with a single observation acting on a part of the boundary.
Cite
@article{arxiv.0706.1422,
title = {Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation},
author = {Patricia Gaitan},
journal= {arXiv preprint arXiv:0706.1422},
year = {2007}
}