English

Sch'nol's Theorem For Strongly Local Forms

Spectral Theory 2007-08-13 v1 Analysis of PDEs

Abstract

We prove a variant of Sch'nol's theorem in a general setting: for generators of strongly local Dirichlet forms perturbed by measures. As an application, we discuss quantum graphs with δ\delta- or Kirchhoff boundary conditions.

Keywords

Cite

@article{arxiv.0708.1501,
  title  = {Sch'nol's Theorem For Strongly Local Forms},
  author = {Anne Boutet de Monvel and Daniel Lenz and Peter Stollmann},
  journal= {arXiv preprint arXiv:0708.1501},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-06-21T09:06:37.617Z