Abstract
This paper concerns Carleman estimate and its applications for a linearized bidomain model in electrocardiology, which describes the electrical activity in the cardiac tissue. We first establish a new Carleman estimate for this reaction–diffusion system. By means of this Carleman estimate, we study two problems for the linearized bidomian model, a Cauchy problem and an inverse conductivities problem. We prove a conditional stability result for the Cauchy problem and a Hölder stability result for the inverse conductivities problem.
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This work is supported by NSFC (Nos. 11661004, 11601240)
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Wu, B., Yan, L., Gao, Y. et al. Carleman estimate for a linearized bidomain model in electrocardiology and its applications. Nonlinear Differ. Equ. Appl. 25, 4 (2018). https://doi.org/10.1007/s00030-018-0496-8
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DOI: https://doi.org/10.1007/s00030-018-0496-8