THE VOLUME OF A LOCAL NODAL DOMAIN-Reference-Cited by-同舟云学术

THE VOLUME OF A LOCAL NODAL DOMAIN

Published:2010-06 Issue:02 Volume:02 Page:259-275
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

MANGOUBI DAN¹

Affiliation:

1. Einstein Institute of Mathematics, Hebrew University, Givat Ram, Jerusalem 91904, Israel

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525310000306

Reference16 articles.

1. Nodal geometry on Riemannian manifolds

2. Nodal sets of eigenfunctions on Reimannian manifolds

3. H. Donnelly and C. Fefferman, Analysis and Partial Differential Equations, Lecture Notes in Pure and Appl. Math. 122 (Dekker, 1990) pp. 635–655.

4. On Spectral Theory of Elliptic Operators

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