English

Probabilistic Interpretation of the Calder\'on Problem

Analysis of PDEs 2015-03-27 v2

Abstract

In this paper, we use the theory of symmetric Dirichlet forms to give a probabilistic interpretation of Calder\'{o}n's inverse conductivity problem in terms of reflecting diffusion processes and their corresponding boundary trace processes.

Keywords

Cite

@article{arxiv.1503.05949,
  title  = {Probabilistic Interpretation of the Calder\'on Problem},
  author = {Petteri Piiroinen and Martin Simon},
  journal= {arXiv preprint arXiv:1503.05949},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1502.04353, arXiv:1403.2883

R2 v1 2026-06-22T08:57:40.632Z