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

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

2006-03-20

arxiv.org/abs/math/0603484v3

Preprint du LATP, Universit\'{e} de Provence 04-06 (2006) 1-14

Mathematics

Analysis of PDEs

Scientific paper

10.1088/0266-5611/22/5/003

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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