Lower bounds on the hausdorff measure of nodal sets II

Hristopher D. Sogge; Steve Zelditch

doi:10.4310/MRL.2012.v19.n6.a14

Lower bounds on the hausdorff measure of nodal sets II

Hristopher D. Sogge, Steve Zelditch

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We give a very short argument showing how the main identity (0.2) from our earlier paper [12] immediately leads to the best lower bound currently known [2] for the Hausdorff measure of nodal sets in dimensions n ≥ 3.

Original language	English (US)
Pages (from-to)	1361-1364
Number of pages	4
Journal	Mathematical Research Letters
Volume	19
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2012.v19.n6.a14
State	Published - 2012

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.4310/MRL.2012.v19.n6.a14

Cite this

@article{f67bad27a38e48ea9f2055963d91881c,

title = "Lower bounds on the hausdorff measure of nodal sets II",

abstract = "We give a very short argument showing how the main identity (0.2) from our earlier paper [12] immediately leads to the best lower bound currently known [2] for the Hausdorff measure of nodal sets in dimensions n ≥ 3.",

author = "Sogge, {Hristopher D.} and Steve Zelditch",

year = "2012",

doi = "10.4310/MRL.2012.v19.n6.a14",

language = "English (US)",

volume = "19",

pages = "1361--1364",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "6",

}

TY - JOUR

T1 - Lower bounds on the hausdorff measure of nodal sets II

AU - Sogge, Hristopher D.

AU - Zelditch, Steve

PY - 2012

Y1 - 2012

N2 - We give a very short argument showing how the main identity (0.2) from our earlier paper [12] immediately leads to the best lower bound currently known [2] for the Hausdorff measure of nodal sets in dimensions n ≥ 3.

AB - We give a very short argument showing how the main identity (0.2) from our earlier paper [12] immediately leads to the best lower bound currently known [2] for the Hausdorff measure of nodal sets in dimensions n ≥ 3.

UR - http://www.scopus.com/inward/record.url?scp=84880842605&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880842605&partnerID=8YFLogxK

U2 - 10.4310/MRL.2012.v19.n6.a14

DO - 10.4310/MRL.2012.v19.n6.a14

M3 - Article

AN - SCOPUS:84880842605

SN - 1073-2780

VL - 19

SP - 1361

EP - 1364

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 6

ER -

Lower bounds on the hausdorff measure of nodal sets II

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this