English

Darboux-Moutard transformations and Poincare-Steklov operators

Analysis of PDEs 2022-08-30 v1 Mathematical Physics math.MP

Abstract

Formulas relating Poincare-Steklov operators for Schroedinger equations related by Darboux-Moutard transformations are derived. They can be used for testing algorithms of reconstruction of the potential from measurements at the boundary.

Cite

@article{arxiv.1808.03236,
  title  = {Darboux-Moutard transformations and Poincare-Steklov operators},
  author = {R. G. Novikov and I. A. Taimanov},
  journal= {arXiv preprint arXiv:1808.03236},
  year   = {2022}
}

Comments

13 pages

R2 v1 2026-06-23T03:29:07.092Z