Carleman estimate for a linearized bidomain model in electrocardiology and its applications

  • Bin Wu
  • Lin Yan
  • Ying Gao
  • Qun Chen


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.


Electrocardiology Cauchy problem Conditional stability 

Mathematics Subject Classification

35L05 35L10 35R09 35R30 



This work is supported by NSFC (Nos. 11661004, 11601240)


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsNanjing University of Information Science and TechnologyNanjingChina

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