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

Michel Cristofol·Patricia Gaitan·Hichem Ramoul
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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.

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Michel Cristofol, Patricia Gaitan, Hichem Ramoul. 2006-06-16. Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation. https://doi.org/10.1088/0266-5611%2F22%2F5%2F003

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