C∞ spectral rigidity of the ellipse

Hamid Hezari; Steve Zelditch

doi:10.2140/apde.2012.5.1105

C^∞ spectral rigidity of the ellipse

Hamid Hezari^*, Steve Zelditch

^*Corresponding author for this work

Mathematics

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

21 Scopus citations

Abstract

We prove that ellipses are infinitesimally spectrally rigid among C^∞ domains with the symmetries of the ellipse.

Original language	English (US)
Pages (from-to)	1105-1132
Number of pages	28
Journal	Analysis and PDE
Volume	5
Issue number	5
DOIs	https://doi.org/10.2140/apde.2012.5.1105
State	Published - 2012

Keywords

Ellipses
Inverse spectral problems
Isospectral deformations
Spectral rigidity

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

Access to Document

10.2140/apde.2012.5.1105

Cite this

@article{ba3494fb35be41b2bd2dcdf2547cc9fc,

title = "C∞ spectral rigidity of the ellipse",

abstract = "We prove that ellipses are infinitesimally spectrally rigid among C∞ domains with the symmetries of the ellipse.",

keywords = "Ellipses, Inverse spectral problems, Isospectral deformations, Spectral rigidity",

author = "Hamid Hezari and Steve Zelditch",

note = "Funding Information: The first author is partially supported by NSF grant DMS-0969745 and the second author is partially supported by NSF grant DMS-0904252. MSC2010: 35PXX. Keywords: inverse spectral problems, spectral rigidity, isospectral deformations, ellipses.",

year = "2012",

doi = "10.2140/apde.2012.5.1105",

language = "English (US)",

volume = "5",

pages = "1105--1132",

journal = "Analysis and PDE",

issn = "2157-5045",

publisher = "Mathematical Sciences Publishers",

number = "5",

}

TY - JOUR

T1 - C∞ spectral rigidity of the ellipse

AU - Hezari, Hamid

AU - Zelditch, Steve

N1 - Funding Information: The first author is partially supported by NSF grant DMS-0969745 and the second author is partially supported by NSF grant DMS-0904252. MSC2010: 35PXX. Keywords: inverse spectral problems, spectral rigidity, isospectral deformations, ellipses.

PY - 2012

Y1 - 2012

N2 - We prove that ellipses are infinitesimally spectrally rigid among C∞ domains with the symmetries of the ellipse.

AB - We prove that ellipses are infinitesimally spectrally rigid among C∞ domains with the symmetries of the ellipse.

KW - Ellipses

KW - Inverse spectral problems

KW - Isospectral deformations

KW - Spectral rigidity

UR - http://www.scopus.com/inward/record.url?scp=84878827705&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878827705&partnerID=8YFLogxK

U2 - 10.2140/apde.2012.5.1105

DO - 10.2140/apde.2012.5.1105

M3 - Article

AN - SCOPUS:84878827705

SN - 2157-5045

VL - 5

SP - 1105

EP - 1132

JO - Analysis and PDE

JF - Analysis and PDE

IS - 5

ER -