Courant's Nodal Domain Theorem for Positivity Preserving Forms

2017/12/20 by Matthias Keller, Michael Schwarz, Keller, Matthias +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP) #math.FA #math.SP

paper · pdf · doi:10.48550/arxiv.1712.07414

arxiv created 2017/12/20 · arxiv updated 2017/12/21

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.

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• Discrete Nodal Domain Theorems
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