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

Bedr'Eddine Ainseba; Mostafa Bendahmane; Yuan He

doi:10.3934/nhm.2015.10.369

Article Contents

2015, Volume 10, Issue 2: 369-385. Doi: 10.3934/nhm.2015.10.369

This issue Previous Article Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition Next Article Inhomogeneities in 3 dimensional oscillatory media

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

1.
Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire, 33076 Bordeaux cedex
2.
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000

Received: November 2013

Revised: March 2015

Published: June 2015

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we study the stability result for the conductivities diffusion coefficients to a strongly reaction-diffusion system modeling electrical activity in the heart. To study the problem, we establish a Carleman estimate for our system. The proof is based on the combination of a Carleman estimate and certain weight energy estimates for parabolic systems.

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Mathematics Subject Classification: Primary: 35K57, 35R30.

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