Courant's Nodal Domain Theorem for Positivity Preserving Forms

Autoren: Matthias Keller, Michael Schwarz (2020)

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.

Zeitschrift:
Journal of Spectral Theory
Seiten:
271–309
Band:
10

zur Übersicht der Publikationen