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Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation

Research paper by Michel Cristofol, Patricia Gaitan, Hichem Ramoul

Indexed on: 16 Jun '06Published on: 16 Jun '06Published in: Mathematics - Analysis of PDEs



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.