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On uniqueness theorems for the inverse problem of electrocardiography in the Sobolev spaces

2022; Wiley; Volume: 103; Issue: 1 Linguagem: Inglês

10.1002/zamm.202100217

1521-4001

Vitaly Kalinin, Alexander Shlapunov, Konstantin Ushenin,

Mathematical Analysis and Transform Methods

Abstract We consider a mathematical model related to reconstruction of cardiac electrical activity from ECG measurements on the body surface. An application of recent developments in solving boundary value problems for elliptic and parabolic equations in Sobolev type spaces allows us to obtain uniqueness theorems for the model. The obtained results can be used as a sound basis for creating numerical methods for non‐invasive mapping of the heart.