The volume of a local nodal domain

Dan Mangoubi

doi:10.1142/S1793525310000306

The volume of a local nodal domain

Dan Mangoubi^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	259-275
Number of pages	17
Journal	Journal of Topology and Analysis
Volume	2
Issue number	2
DOIs	https://doi.org/10.1142/S1793525310000306
State	Published - Jun 2010

Keywords

Courant
Nodal domains
growth lemma
local asymmetry
three circles theorem

Access to Document

10.1142/S1793525310000306

Cite this

@article{a2f173ca9ad446839e95f221801172c7,

title = "The volume of a local nodal domain",

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.",

keywords = "Courant, Nodal domains, growth lemma, local asymmetry, three circles theorem",

author = "Dan Mangoubi",

year = "2010",

month = jun,

doi = "10.1142/S1793525310000306",

language = "אנגלית",

volume = "2",

pages = "259--275",

journal = "Journal of Topology and Analysis",

issn = "1793-5253",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "2",

}

TY - JOUR

T1 - The volume of a local nodal domain

AU - Mangoubi, Dan

PY - 2010/6

Y1 - 2010/6

N2 - 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.

AB - 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.

KW - Courant

KW - Nodal domains

KW - growth lemma

KW - local asymmetry

KW - three circles theorem

UR - http://www.scopus.com/inward/record.url?scp=79955548892&partnerID=8YFLogxK

U2 - 10.1142/S1793525310000306

DO - 10.1142/S1793525310000306

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:79955548892

SN - 1793-5253

VL - 2

SP - 259

EP - 275

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 2

ER -

The volume of a local nodal domain

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this