Courant's Nodal Domain Theorem for Positivity Preserving Forms
Spectral Theory
2017-12-21 v1 Functional Analysis
Abstract
We introduce a notion of nodal domains for positivity preserving forms. This notion generalizes the classical ones for Laplacians on domains and on graphs. We prove the Courant nodal domain theorem in this generalized setting using purely analytical methods.
Keywords
Cite
@article{arxiv.1712.07414,
title = {Courant's Nodal Domain Theorem for Positivity Preserving Forms},
author = {Matthias Keller and Michael Schwarz},
journal= {arXiv preprint arXiv:1712.07414},
year = {2017}
}