Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation
Analysis of PDEs
2009-11-11 v3
Abstract
For a two by two reaction-diffusion system on a bounded domain we give a simultaneous stability result for one coefficient and for the initial conditions. The key ingredient is a global Carleman-type estimate with a single observation acting on a subdomain.
Cite
@article{arxiv.math/0603484,
title = {Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation},
author = {Michel Cristofol and Patricia Gaitan and Hichem Ramoul},
journal= {arXiv preprint arXiv:math/0603484},
year = {2009}
}