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math.AP2021★ 5 cited
On uniqueness theorems for the inverse problem of Electrocardiography in the Sobolev spaces
Vitaly Kalinin, Alexander Shlapunov, Konstantin Ushenin
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 solvin…
math.AP2021
Inverse image of precompact sets and existence theorems for the Navier-Stokes equations in spatially periodic setting
Alexander Shlapunov, Nikolai Tarkhanov
We consider the initial problem for the Navier-Stokes equations over with a positive time in the spatially periodic setting. Identifying periodic v…
math.AP2021
On the uniqueness theorems for transmissions problems related to models of elasticity, diffusion and electrocardiography
Alexander Shlapunov, Yulia Shefer
We consider a generalization of the inverse problem of the electrocardiography in the framework of the theory of elliptic and parabolic differential operators. More precisely, star…