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

• DOI: 10.1007/s00030-018-0496-8
• Publication Date: 2018-01-24T11:52:16Z
• Authors: Bin Wu; Lin Yan; Ying Gao; Qun Chen
• Keywords: 0101 mathematics; 01 natural sciences

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 Holder stability result for the inverse conductivities problem.