THE VOLUME OF A LOCAL NODAL DOMAIN

DOI10.1142/S1793525310000306zbMath1211.58020arXiv0806.3327MaRDI QIDQ3578460

Dan Mangoubi

Publication date: 20 July 2010

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3327

zbMATH Keywords

currentFaber-Krahn inequalitynodal domainsavoided crossingsgrowth lemmalocal asymmetrythree circles theorem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (6)

Rapid mixing of geodesic walks on manifolds with positive curvature ⋮ Topological properties of Neumann domains ⋮ Some applications of heat flow to Laplace eigenfunctions ⋮ Lower Bounds on Nodal Sets of Eigenfunctions via the Heat Flow ⋮ Some remarks on nodal geometry in the smooth setting ⋮ Local version of Courant's nodal domain theorem

Cites Work

• Metric properties of eigenfunctions of the Laplace operator on manifolds
• Nodal sets of eigenfunctions on Riemannian manifolds
• On the Inner Radius of a Nodal Domain
• Elliptic Partial Differential Equations of Second Order
• Avoided intersections of nodal lines
• Sign and area in nodal geometry of Laplace eigenfunctions

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