On a nonlinear model in domains with cavities arising from cardiac electrophysiology

Author:

Beretta ElenaORCID,Cerutti M CristinaORCID,Pierotti DarioORCID

Abstract

Abstract In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac electrophysiology. With minimal regularity assumptions on the cavities, we first show well-posedness of the direct problem and then prove uniqueness for the inverse problem.

Publisher

IOP Publishing

Subject

Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science

Reference22 articles.

1. Optimal stability for inverse elliptic boundary value problems with unknown boundaries;Alessandrini;Ann. della Scuola Norm. Super. Pisa - Cl. Sci.,2000

2. The stability for the Cauchy problem for elliptic equations;Alessandrini;Inverse Problems,2009

3. An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology;Beretta;Math. Models Methods Appl. Sci.,2016

4. An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology;Beretta;Math. Model. Numer. Anal.,2003

5. A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem;Beretta;Inverse Problems,2017

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