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

DOI10.1007/s00030-018-0496-8zbMath1403.35062OpenAlexW2794231049MaRDI QIDQ1705177

Bin Wu, Qun Chen, Ying Gao, Lin Yan

Publication date: 14 March 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-018-0496-8

zbMATH Keywords

conditional stabilityinverse conductivities problem

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

Lipschitz stability of an inverse source problem for ADMB-KdV equation ⋮ Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling ⋮ On uniqueness theorems for the inverse problem of electrocardiography in the Sobolev spaces ⋮ Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem ⋮ Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates ⋮ Null controllability of a coupled degenerate system with the first and zero order terms by a single control ⋮ On the stability of recovering two sources and initial status in a stochastic hyperbolic-parabolic system

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