Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation
classification
🧮 math.AP
keywords
estimateobservationreaction-diffusionsystemactingboundedcarlemancarleman-type
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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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