Stability of conductivities in an inverse problem in the reaction-diffusion system in electrocardiology

DOI10.3934/NHM.2015.10.369zbMath1334.35415OpenAlexW4293439206MaRDI QIDQ258494

Yuan He, Mostafa Bendahmane, Bedr'Erddine Ainseba

Publication date: 10 March 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2015.10.369

zbMATH Keywords

stabilityinverse problemreaction-diffusion systemCarleman estimatescardiac electric field

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Inverse problems for PDEs (35R30)

Related Items (6)

Lipschitz stability for some coupled degenerate parabolic systems with locally distributed observations of one component ⋮ 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 estimate for a linearized bidomain model in electrocardiology and its applications ⋮ Inverse problem for a Cahn–Hilliard type system modeling tumor growth ⋮ Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates

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