The volume of a local nodal domain

Dan Mangoubi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Let M either be a closed real analytic Riemannian manifold or a closed C -Riemannian surface. We estimate from below the volume of a nodal domain component in an arbitrary ball, provided that this component enters the ball deeply enough.

Original languageAmerican English
Pages (from-to)259-275
Number of pages17
JournalJournal of Topology and Analysis
Volume2
Issue number2
DOIs
StatePublished - Jun 2010

Keywords

  • Courant
  • Nodal domains
  • growth lemma
  • local asymmetry
  • three circles theorem

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