Journal
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume 25, Issue 1, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00030-018-0496-8
Keywords
Electrocardiology; Cauchy problem; Conditional stability
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Funding
- NSFC [11661004, 11601240]
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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.
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