An optimal partition problem for eigenvalues

L. A. Cafferelli; Fang Hua Lin

doi:10.1007/s10915-006-9114-8

An optimal partition problem for eigenvalues

L. A. Cafferelli, Fang Hua Lin

Mathematics

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

Abstract

In this paper, we studied an optimal partition problem for the Dirichlet eigenvalue. We established the existence of classical solutions to such problems as well as the regularity of free interfaces.

Original language	English (US)
Pages (from-to)	5-18
Number of pages	14
Journal	Journal of Scientific Computing
Volume	31
Issue number	1-2
DOIs	https://doi.org/10.1007/s10915-006-9114-8
State	Published - Jun 2007

Keywords

Eigenvalues
Free boundary
Optimal partition

ASJC Scopus subject areas

Software
Theoretical Computer Science
Numerical Analysis
General Engineering
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s10915-006-9114-8

Cite this

@article{dd856d66ab0a47b19bece43689155839,

title = "An optimal partition problem for eigenvalues",

abstract = "In this paper, we studied an optimal partition problem for the Dirichlet eigenvalue. We established the existence of classical solutions to such problems as well as the regularity of free interfaces.",

keywords = "Eigenvalues, Free boundary, Optimal partition",

author = "Cafferelli, {L. A.} and Lin, {Fang Hua}",

note = "Funding Information: The research of both authors are partially supported by the NSF-grants.",

year = "2007",

month = jun,

doi = "10.1007/s10915-006-9114-8",

language = "English (US)",

volume = "31",

pages = "5--18",

journal = "Journal of Scientific Computing",

issn = "0885-7474",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - An optimal partition problem for eigenvalues

AU - Cafferelli, L. A.

AU - Lin, Fang Hua

N1 - Funding Information: The research of both authors are partially supported by the NSF-grants.

PY - 2007/6

Y1 - 2007/6

N2 - In this paper, we studied an optimal partition problem for the Dirichlet eigenvalue. We established the existence of classical solutions to such problems as well as the regularity of free interfaces.

AB - In this paper, we studied an optimal partition problem for the Dirichlet eigenvalue. We established the existence of classical solutions to such problems as well as the regularity of free interfaces.

KW - Eigenvalues

KW - Free boundary

KW - Optimal partition

UR - http://www.scopus.com/inward/record.url?scp=34247383085&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34247383085&partnerID=8YFLogxK

U2 - 10.1007/s10915-006-9114-8

DO - 10.1007/s10915-006-9114-8

M3 - Article

AN - SCOPUS:34247383085

SN - 0885-7474

VL - 31

SP - 5

EP - 18

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 1-2

ER -

An optimal partition problem for eigenvalues

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this