English

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

Analysis of PDEs 2022-09-14 v3

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.

Keywords

Cite

@article{arxiv.2106.04213,
  title  = {On a nonlinear model in domains with cavities arising from cardiac electrophysiology},
  author = {E. Beretta and M. C. Cerutti and D. Pierotti},
  journal= {arXiv preprint arXiv:2106.04213},
  year   = {2022}
}

Comments

To appear in Inverse Problems