English

Unique determination of a Kato class potential from boundary data

Analysis of PDEs 2025-02-24 v1 Functional Analysis Spectral Theory

Abstract

We prove that a Kato class potential VV defined on an open, bounded set in R3\mathbb{R}^3 with Lipschitz boundary is uniquely determined by the Dirichlet-to-Neumann operator associated to the equation Δu+Vu=0.-\Delta u + Vu = 0\,.

Cite

@article{arxiv.2502.15319,
  title  = {Unique determination of a Kato class potential from boundary data},
  author = {Clemens Bombach},
  journal= {arXiv preprint arXiv:2502.15319},
  year   = {2025}
}

Comments

32 pages

R2 v1 2026-06-28T21:52:32.828Z