Dirichlet problem for the constant mean curvature equation and CMC foliation in the extended Schwarzschild spacetime

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We prove the existence and uniqueness of the Dirichlet problem for the spacelike, spherically symmetric, constant mean curvature equation with symmetric boundary data in the extended Schwarzschild spacetime. As an application, we completely solve the CMC foliation conjecture which is proposed by Malec and Murchadha (2003 Phys. Rev. D 68 124019).

Original languageEnglish
Article number185001
JournalClassical and Quantum Gravity
Volume33
Issue number18
DOIs
Publication statusPublished - 2016 Aug 19

Fingerprint

Dirichlet problem
uniqueness
curvature

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

@article{7611590c52774a3f9e76786e78c1e0e0,
title = "Dirichlet problem for the constant mean curvature equation and CMC foliation in the extended Schwarzschild spacetime",
abstract = "We prove the existence and uniqueness of the Dirichlet problem for the spacelike, spherically symmetric, constant mean curvature equation with symmetric boundary data in the extended Schwarzschild spacetime. As an application, we completely solve the CMC foliation conjecture which is proposed by Malec and Murchadha (2003 Phys. Rev. D 68 124019).",
author = "Kuo-Wei Lee",
year = "2016",
month = "8",
day = "19",
doi = "10.1088/0264-9381/33/18/185001",
language = "English",
volume = "33",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "18",

}

TY - JOUR

T1 - Dirichlet problem for the constant mean curvature equation and CMC foliation in the extended Schwarzschild spacetime

AU - Lee, Kuo-Wei

PY - 2016/8/19

Y1 - 2016/8/19

N2 - We prove the existence and uniqueness of the Dirichlet problem for the spacelike, spherically symmetric, constant mean curvature equation with symmetric boundary data in the extended Schwarzschild spacetime. As an application, we completely solve the CMC foliation conjecture which is proposed by Malec and Murchadha (2003 Phys. Rev. D 68 124019).

AB - We prove the existence and uniqueness of the Dirichlet problem for the spacelike, spherically symmetric, constant mean curvature equation with symmetric boundary data in the extended Schwarzschild spacetime. As an application, we completely solve the CMC foliation conjecture which is proposed by Malec and Murchadha (2003 Phys. Rev. D 68 124019).

UR - http://www.scopus.com/inward/record.url?scp=84988464629&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84988464629&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/33/18/185001

DO - 10.1088/0264-9381/33/18/185001

M3 - Article

VL - 33

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 18

M1 - 185001

ER -