Journal
NETWORKS AND HETEROGENEOUS MEDIA
Volume 10, Issue 2, Pages 369-385Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/nhm.2015.10.369
Keywords
Inverse problem; stability; reaction-diffusion system; cardiac electric field; Carleman estimates
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Funding
- Moroccan project FINCOME
- [lzujbky-2014-22]
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In this paper, we study the stability result for the conductivities diffusion coefficients to a strongly reaction-diffusion system modeling electrical activity in the heart. To study the problem, we establish a Carleman estimate for our system. The proof is based on the combination of a Carleman estimate and certain weight energy estimates for parabolic systems.
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