Abstract:
We consider a generalization of a transmission problem for matrix elliptic operators related to mathematical models of cardiology. We find sufficient conditions when the approach developed for scalar elliptic operators is still valid in this much more general situation.
Keywords:
transmission problems for elliptic systems, models of electrocardiology.
\Bibitem{She20}
\by Yulia~L.~Shefer
\paper On a transmission problem related to models of electrocardiology
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 5
\pages 596--607
\mathnet{http://mi.mathnet.ru/jsfu866}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-5-596-607}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000580315300008}
Linking options:
https://www.mathnet.ru/eng/jsfu866
https://www.mathnet.ru/eng/jsfu/v13/i5/p596
This publication is cited in the following 2 articles:
Vitaly Kalinin, Alexander Shlapunov, Konstantin Ushenin, “On uniqueness theorems for the inverse problem of electrocardiography in the Sobolev spaces”, Z Angew Math Mech, 103:1 (2023)
Alexander Shlapunov, Yulia Shefer, “On the uniqueness theorems for transmission problems related to models of elasticity, diffusion and electrocardiography”, Journal of Inverse and Ill-posed Problems, 2023
Citation in format AMSBIB
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