Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation
arXiv:math/0603484 · doi:10.1088/0266-5611/22/5/003
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.