Asymptotics of the heat equation with ‘exotic’ boundary conditions or with time dependent coefficients

The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat content asymptotics are discussed for operators with time dependent coefficients and Dirichlet or Robin boundary conditions.

Saved in:
Bibliographic Details
Published inNuclear physics. Section B, Proceedings supplement Vol. 104; no. 1; pp. 63 - 70
Main Authors Gilkey, Peter B., Kirsten, Klaus, Park, JeongHyeong, Vassilevich, Dmitri
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2002
Online AccessGet full text

Cover

Abstract The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat content asymptotics are discussed for operators with time dependent coefficients and Dirichlet or Robin boundary conditions.
AbstractList The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat content asymptotics are discussed for operators with time dependent coefficients and Dirichlet or Robin boundary conditions.
Author Gilkey, Peter B.
Kirsten, Klaus
Park, JeongHyeong
Vassilevich, Dmitri
Author_xml – sequence: 1
  givenname: Peter B.
  surname: Gilkey
  fullname: Gilkey, Peter B.
  email: gilkey@darkwing.uoregon.edu
  organization: Mathematics Department, University of Oregon, Eugene Or 97403 USA
– sequence: 2
  givenname: Klaus
  surname: Kirsten
  fullname: Kirsten, Klaus
  email: klaus@a35.ph.man.ac.uk
  organization: Department of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester UK M13 9PL UK
– sequence: 3
  givenname: JeongHyeong
  surname: Park
  fullname: Park, JeongHyeong
  email: jhpark@honam.honam.ac.kr
  organization: Mathematics Department, Honam University, Kwangju 506-714 South Korea
– sequence: 4
  givenname: Dmitri
  surname: Vassilevich
  fullname: Vassilevich, Dmitri
  email: vassil@itp.uni-leipzig.de
  organization: Institute for Theoretical Physics, University of Leipzig, Augustusplatz 10, 04109 Leipzig, Germany
BookMark eNqFkM9KAzEQh4NUsK0-gpCjHlYn2exu9iSl-A8KHlToLaTJhKbY3bpJ1d76GPp6fRJ3rXj1MjOH7zf8-AakV9UVEnLK4IIByy8foeSQZHnKz4CdA8vKLJkekD6TRZqkMuU90v9DjsgghAUAcAayTxajsFmuYh29CbR2NM6RzlFHiq9rHX1d0Xcf53S3_cSPDtptv-isXldWNxtq6sr6DmqjzR6MfonU4gori1VsCXTOG9_e4ZgcOv0S8OR3D8nzzfXT-C6ZPNzej0eTxPAsi4mVEnLNnMOSz7gQvNQa8ty0w4oi5TZjpRTFrMwFz6XRzkoBzgksobBapOmQZPu_pqlDaNCpVeOXbV_FQHXC1I8w1dlQwNSPMDVtc1f7HLbl3jw2KnTFDVrfoInK1v6fD9-80niS
Cites_doi 10.1016/0370-2693(90)92105-R
10.1142/S021773230000147X
10.1016/S0550-3213(99)00590-8
10.4310/jdg/1214433164
10.1016/S0370-2693(00)00966-7
10.1080/03605309908820686
10.1017/S0305004100051872
10.1016/0003-4916(80)90138-4
10.1016/0022-1236(92)90146-A
10.1088/0264-9381/6/12/024
10.4310/CAG.1999.v7.n2.a3
10.1090/conm/242/03664
10.1103/PhysRevLett.83.4690
10.2307/2373312
10.1090/pspum/016/0265784
10.1007/BF02921566
10.1007/BF01884310
10.1017/S0308210500000172
10.12775/TMNA.1993.035
10.1016/0022-247X(81)90102-5
10.1017/S0305004100049410
10.1016/0370-2693(89)91168-4
10.1017/S0305004100052105
10.1103/PhysRevLett.83.3370
ContentType Journal Article
Copyright 2002
Copyright_xml – notice: 2002
DBID AAYXX
CITATION
DOI 10.1016/S0920-5632(01)01595-X
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1873-3832
EndPage 70
ExternalDocumentID 10_1016_S0920_5632_01_01595_X
S092056320101595X
GroupedDBID --K
--M
.~1
0R~
123
1B1
1RT
1~.
1~5
29N
4.4
4G.
5VS
7-5
71M
8P~
9JN
AACTN
AAEDT
AAEDW
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
ABFNM
ABMAC
ABNEU
ABXDB
ABYKQ
ACDAQ
ACFVG
ACGFS
ACNNM
ACRLP
ADBBV
ADEZE
ADIYS
ADMUD
AEBSH
AEKER
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AIEXJ
AIKHN
AITUG
AIVDX
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ASPBG
AVWKF
AXJTR
AZFZN
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EJD
EO8
EO9
EP2
EP3
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
HME
HVGLF
HZ~
IHE
J1W
KOM
LZ4
M41
MO0
N9A
O-L
O9-
OAUVE
OGIMB
OZT
P-8
P-9
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SHN
SPC
SPD
SSZ
T5K
WUQ
AAXKI
AAYXX
AKRWK
CITATION
ID FETCH-LOGICAL-c255t-d8806a1ffe92b24429aa066ca06d4732d519847b964268cafd840ff4e907da433
IEDL.DBID AIKHN
ISSN 0920-5632
IngestDate Thu Sep 12 17:02:21 EDT 2024
Fri Feb 23 02:29:18 EST 2024
IsPeerReviewed false
IsScholarly false
Issue 1
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c255t-d8806a1ffe92b24429aa066ca06d4732d519847b964268cafd840ff4e907da433
PageCount 8
ParticipantIDs crossref_primary_10_1016_S0920_5632_01_01595_X
elsevier_sciencedirect_doi_10_1016_S0920_5632_01_01595_X
PublicationCentury 2000
PublicationDate 2002
2002-1-00
PublicationDateYYYYMMDD 2002-01-01
PublicationDate_xml – year: 2002
  text: 2002
PublicationDecade 2000
PublicationTitle Nuclear physics. Section B, Proceedings supplement
PublicationYear 2002
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Amsterdamski, Berkin, O'Connor (BIB1) 1989; 6
D'Eath, Esposito (BIB15) 1991; D44
Gilkey (BIB18) 1975; 10
Dowker, Gilkey, Kirsten (BIB13) 1999; 242
Gilkey, Kirsten, Park (BIB22) 2001; A34
P.B. Gilkey and K. Kirsten, Heat asymptotics with spectral boundary conditions II, preprint.
van den Berg, Gilkey (BIB6) 1999; 7
Bordag, Vassilevich (BIB8) 1999; A32
Atiyah, Patodi, Singer, Atiyah, Patodi, Singer, Atiyah, Patodi, Singer (BIB2) 1975; 77
Seeley (BIB34) 1969; 91
Kennedy, Critchley, Dowker (BIB27) 1980; 125
Avramidi (BIB4) 2000
Grubb (BIB26) 1986; 65
Lions, Magenes (BIB28) 1972; 181
Moss (BIB29) 2000; B491
van den Berg, Desjardins, Gilkey (BIB5) 1993; 2
Peetre (BIB31) 1963; 15
Gray (BIB36) 1990
Greiner (BIB25) 1970; 16
P.B. Gilkey, K. Kirsten and D.V. Vassilevich, Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario, to appear in Nuclear Physics B, hep-th/0101105.
Gilkey, Park (BIB24) 2000; A15
Gilkey (BIB20) 1999; A32
J.S. Dowker, P.B. Gilkey and K. Kirsten, On properties of the asymptotic expansion of the heat trace for the N/D problem, to appear International Journal of Mathematics.
Randall, Sundrum, Randall, Sundrum (BIB33) 1999; 83
Simanca (BIB35) 1988; 32
Esposito, Kamenshchik (BIB16) 1996; D54
van den Berg, Gilkey (BIB7) 2000; 130A
Moss, Dowker (BIB30) 1989; B229
Pryde (BIB32) 1981; 80
Avramidi (BIB3) 1990; B238
Gilkey (BIB19) 1995
Branson, Gilkey, Kirsten, Vassilevich (BIB11) 1999; B563
Branson, Gilkey (BIB9) 1990; 15
Branson, Gilkey (BIB10) 1992; 108
Grubb, Seeley, Grubb, Seeley (BIB17) 1995; 121
J.S. Dowker, The N ∪ D problem, preprint (hep-th/0007127).
Peetre (10.1016/S0920-5632(01)01595-X_BIB31) 1963; 15
van den Berg (10.1016/S0920-5632(01)01595-X_BIB5) 1993; 2
Branson (10.1016/S0920-5632(01)01595-X_BIB11) 1999; B563
Randall (10.1016/S0920-5632(01)01595-X_BIB33_2) 1999; 83
Branson (10.1016/S0920-5632(01)01595-X_BIB10) 1992; 108
Gilkey (10.1016/S0920-5632(01)01595-X_BIB19) 1995
van den Berg (10.1016/S0920-5632(01)01595-X_BIB7) 2000; 130A
Gilkey (10.1016/S0920-5632(01)01595-X_BIB24) 2000; A15
Gilkey (10.1016/S0920-5632(01)01595-X_BIB18) 1975; 10
10.1016/S0920-5632(01)01595-X_BIB21
Moss (10.1016/S0920-5632(01)01595-X_BIB30) 1989; B229
van den Berg (10.1016/S0920-5632(01)01595-X_BIB6) 1999; 7
Amsterdamski (10.1016/S0920-5632(01)01595-X_BIB1) 1989; 6
Grubb (10.1016/S0920-5632(01)01595-X_BIB17_2) 1996; 6
10.1016/S0920-5632(01)01595-X_BIB23
Gray (10.1016/S0920-5632(01)01595-X_BIB36) 1990
Gilkey (10.1016/S0920-5632(01)01595-X_BIB22) 2001; A34
Pryde (10.1016/S0920-5632(01)01595-X_BIB32) 1981; 80
Atiyah (10.1016/S0920-5632(01)01595-X_BIB2_3) 1976; 9
Kennedy (10.1016/S0920-5632(01)01595-X_BIB27) 1980; 125
Dowker (10.1016/S0920-5632(01)01595-X_BIB13) 1999; 242
Moss (10.1016/S0920-5632(01)01595-X_BIB29) 2000; B491
D'Eath (10.1016/S0920-5632(01)01595-X_BIB15) 1991; D44
Grubb (10.1016/S0920-5632(01)01595-X_BIB17_1) 1995; 121
Atiyah (10.1016/S0920-5632(01)01595-X_BIB2_1) 1975; 77
Atiyah (10.1016/S0920-5632(01)01595-X_BIB2_2) 1975; 78
Lions (10.1016/S0920-5632(01)01595-X_BIB28) 1972; 181
Bordag (10.1016/S0920-5632(01)01595-X_BIB8) 1999; A32
Avramidi (10.1016/S0920-5632(01)01595-X_BIB3) 1990; B238
Gilkey (10.1016/S0920-5632(01)01595-X_BIB20) 1999; A32
Grubb (10.1016/S0920-5632(01)01595-X_BIB26) 1986; 65
Randall (10.1016/S0920-5632(01)01595-X_BIB33_1) 1999; 83
Esposito (10.1016/S0920-5632(01)01595-X_BIB16) 1996; D54
Seeley (10.1016/S0920-5632(01)01595-X_BIB34) 1969; 91
Simanca (10.1016/S0920-5632(01)01595-X_BIB35) 1988; 32
Branson (10.1016/S0920-5632(01)01595-X_BIB9) 1990; 15
10.1016/S0920-5632(01)01595-X_BIB12
Greiner (10.1016/S0920-5632(01)01595-X_BIB25) 1970; 16
Avramidi (10.1016/S0920-5632(01)01595-X_BIB4) 2000
10.1016/S0920-5632(01)01595-X_BIB14
References_xml – volume: 7
  start-page: 279
  year: 1999
  end-page: 294
  ident: BIB6
  publication-title: Commun. Analysis and Geometry
  contributor:
    fullname: Gilkey
– volume: 181
  year: 1972
  ident: BIB28
  publication-title: Non-Homogeneous Boundary Value problems and Applications
  contributor:
    fullname: Magenes
– volume: 6
  start-page: 1981
  year: 1989
  end-page: 1991
  ident: BIB1
  publication-title: Class. Quantum Grav.
  contributor:
    fullname: O'Connor
– volume: 65
  year: 1986
  ident: BIB26
  article-title: Functional Calculus of Pseudo Differential Boundary Problems
  publication-title: Progress in Math.
  contributor:
    fullname: Grubb
– volume: 91
  start-page: 963
  year: 1969
  end-page: 983
  ident: BIB34
  publication-title: Amer. J. Math.
  contributor:
    fullname: Seeley
– volume: 2
  start-page: 147
  year: 1993
  end-page: 162
  ident: BIB5
  publication-title: Topological Methods in Nonlinear Analysis
  contributor:
    fullname: Gilkey
– year: 1995
  ident: BIB19
  publication-title: Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem
  contributor:
    fullname: Gilkey
– volume: B229
  start-page: 261
  year: 1989
  end-page: 263
  ident: BIB30
  publication-title: Phys. Lett.
  contributor:
    fullname: Dowker
– volume: 77
  start-page: 43
  year: 1975
  end-page: 69
  ident: BIB2
  publication-title: Math. Proc. Camb. Phil. Soc.
  contributor:
    fullname: Singer
– volume: A15
  start-page: 1165
  year: 2000
  end-page: 1179
  ident: BIB24
  publication-title: Mod. Phys. Lett.
  contributor:
    fullname: Park
– volume: B491
  start-page: 203
  year: 2000
  end-page: 206
  ident: BIB29
  publication-title: Phys. Lett.
  contributor:
    fullname: Moss
– volume: A32
  start-page: 8247
  year: 1999
  ident: BIB8
  publication-title: J. Phys.
  contributor:
    fullname: Vassilevich
– year: 2000
  ident: BIB4
  article-title: Heat kernel asymptotics of non-smooth boundary value problem
  publication-title: Workshop on Spectral Geometry, Bristol
  contributor:
    fullname: Avramidi
– volume: 121
  start-page: 481
  year: 1995
  end-page: 529
  ident: BIB17
  publication-title: Invent. Math.
  contributor:
    fullname: Seeley
– volume: D54
  start-page: 3869
  year: 1996
  ident: BIB16
  publication-title: Phys. Rev.
  contributor:
    fullname: Kamenshchik
– volume: B238
  start-page: 92
  year: 1990
  end-page: 97
  ident: BIB3
  publication-title: Phys. Lett.
  contributor:
    fullname: Avramidi
– volume: A32
  start-page: 2825
  year: 1999
  end-page: 2834
  ident: BIB20
  publication-title: J. Phys.
  contributor:
    fullname: Gilkey
– volume: 130A
  start-page: 307
  year: 2000
  end-page: 312
  ident: BIB7
  publication-title: Proc. of Royal Society Edinburgh
  contributor:
    fullname: Gilkey
– volume: A34
  start-page: 1153
  year: 2001
  end-page: 1168
  ident: BIB22
  article-title: Heat Trace Asymptotics of a time dependent process
  publication-title: J. Phys.
  contributor:
    fullname: Park
– volume: B563
  start-page: 603
  year: 1999
  end-page: 626
  ident: BIB11
  publication-title: Nucl. Phys.
  contributor:
    fullname: Vassilevich
– volume: 32
  start-page: 99
  year: 1988
  end-page: 114
  ident: BIB35
  publication-title: Ill. J. Math.
  contributor:
    fullname: Simanca
– volume: 10
  start-page: 601
  year: 1975
  end-page: 618
  ident: BIB18
  publication-title: J. Diff. Geom.
  contributor:
    fullname: Gilkey
– volume: D44
  start-page: 1713
  year: 1991
  ident: BIB15
  publication-title: Phys. Rev.
  contributor:
    fullname: Esposito
– volume: 80
  start-page: 203
  year: 1981
  end-page: 244
  ident: BIB32
  publication-title: J. Math. Anal. Appl.
  contributor:
    fullname: Pryde
– volume: 83
  start-page: 4690
  year: 1999
  ident: BIB33
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Sundrum
– volume: 15
  start-page: 337
  year: 1963
  end-page: 353
  ident: BIB31
  publication-title: Ann. Scuola. Norm. Sup. Pisa
  contributor:
    fullname: Peetre
– year: 1990
  ident: BIB36
  publication-title: Tubes
  contributor:
    fullname: Gray
– volume: 15
  start-page: 245
  year: 1990
  end-page: 272
  ident: BIB9
  publication-title: Commun. Part. Diff. Eq.
  contributor:
    fullname: Gilkey
– volume: 242
  start-page: 107
  year: 1999
  end-page: 124
  ident: BIB13
  publication-title: Contemporary Math.
  contributor:
    fullname: Kirsten
– volume: 108
  start-page: 47
  year: 1992
  end-page: 87
  ident: BIB10
  publication-title: J. Funct. Anal.
  contributor:
    fullname: Gilkey
– volume: 16
  start-page: 133
  year: 1970
  end-page: 137
  ident: BIB25
  article-title: Global Analysis
  publication-title: Amer. Math. Soc. Proc. Symp. Pure Math.
  contributor:
    fullname: Greiner
– volume: 125
  start-page: 346
  year: 1980
  end-page: 400
  ident: BIB27
  publication-title: Ann. Phys.
  contributor:
    fullname: Dowker
– volume: 15
  start-page: 337
  year: 1963
  ident: 10.1016/S0920-5632(01)01595-X_BIB31
  publication-title: Ann. Scuola. Norm. Sup. Pisa
  contributor:
    fullname: Peetre
– volume: B238
  start-page: 92
  year: 1990
  ident: 10.1016/S0920-5632(01)01595-X_BIB3
  publication-title: Phys. Lett.
  doi: 10.1016/0370-2693(90)92105-R
  contributor:
    fullname: Avramidi
– volume: A32
  start-page: 8247
  year: 1999
  ident: 10.1016/S0920-5632(01)01595-X_BIB8
  publication-title: J. Phys.
  contributor:
    fullname: Bordag
– ident: 10.1016/S0920-5632(01)01595-X_BIB21
– volume: A15
  start-page: 1165
  year: 2000
  ident: 10.1016/S0920-5632(01)01595-X_BIB24
  publication-title: Mod. Phys. Lett.
  doi: 10.1142/S021773230000147X
  contributor:
    fullname: Gilkey
– volume: B563
  start-page: 603
  year: 1999
  ident: 10.1016/S0920-5632(01)01595-X_BIB11
  publication-title: Nucl. Phys.
  doi: 10.1016/S0550-3213(99)00590-8
  contributor:
    fullname: Branson
– ident: 10.1016/S0920-5632(01)01595-X_BIB23
– volume: 10
  start-page: 601
  year: 1975
  ident: 10.1016/S0920-5632(01)01595-X_BIB18
  publication-title: J. Diff. Geom.
  doi: 10.4310/jdg/1214433164
  contributor:
    fullname: Gilkey
– volume: 32
  start-page: 99
  year: 1988
  ident: 10.1016/S0920-5632(01)01595-X_BIB35
  publication-title: Ill. J. Math.
  contributor:
    fullname: Simanca
– year: 2000
  ident: 10.1016/S0920-5632(01)01595-X_BIB4
  article-title: Heat kernel asymptotics of non-smooth boundary value problem
  publication-title: Workshop on Spectral Geometry, Bristol
  contributor:
    fullname: Avramidi
– ident: 10.1016/S0920-5632(01)01595-X_BIB12
– volume: B491
  start-page: 203
  year: 2000
  ident: 10.1016/S0920-5632(01)01595-X_BIB29
  publication-title: Phys. Lett.
  doi: 10.1016/S0370-2693(00)00966-7
  contributor:
    fullname: Moss
– volume: 15
  start-page: 245
  year: 1990
  ident: 10.1016/S0920-5632(01)01595-X_BIB9
  publication-title: Commun. Part. Diff. Eq.
  doi: 10.1080/03605309908820686
  contributor:
    fullname: Branson
– volume: 78
  start-page: 405
  year: 1975
  ident: 10.1016/S0920-5632(01)01595-X_BIB2_2
  publication-title: Math. Proc. Camb. Phil. Soc.
  doi: 10.1017/S0305004100051872
  contributor:
    fullname: Atiyah
– ident: 10.1016/S0920-5632(01)01595-X_BIB14
– volume: 125
  start-page: 346
  year: 1980
  ident: 10.1016/S0920-5632(01)01595-X_BIB27
  publication-title: Ann. Phys.
  doi: 10.1016/0003-4916(80)90138-4
  contributor:
    fullname: Kennedy
– volume: 108
  start-page: 47
  year: 1992
  ident: 10.1016/S0920-5632(01)01595-X_BIB10
  publication-title: J. Funct. Anal.
  doi: 10.1016/0022-1236(92)90146-A
  contributor:
    fullname: Branson
– volume: 6
  start-page: 1981
  year: 1989
  ident: 10.1016/S0920-5632(01)01595-X_BIB1
  publication-title: Class. Quantum Grav.
  doi: 10.1088/0264-9381/6/12/024
  contributor:
    fullname: Amsterdamski
– volume: 7
  start-page: 279
  year: 1999
  ident: 10.1016/S0920-5632(01)01595-X_BIB6
  publication-title: Commun. Analysis and Geometry
  doi: 10.4310/CAG.1999.v7.n2.a3
  contributor:
    fullname: van den Berg
– volume: 242
  start-page: 107
  year: 1999
  ident: 10.1016/S0920-5632(01)01595-X_BIB13
  publication-title: Contemporary Math.
  doi: 10.1090/conm/242/03664
  contributor:
    fullname: Dowker
– volume: D44
  start-page: 1713
  year: 1991
  ident: 10.1016/S0920-5632(01)01595-X_BIB15
  publication-title: Phys. Rev.
  contributor:
    fullname: D'Eath
– volume: D54
  start-page: 3869
  year: 1996
  ident: 10.1016/S0920-5632(01)01595-X_BIB16
  publication-title: Phys. Rev.
  contributor:
    fullname: Esposito
– year: 1995
  ident: 10.1016/S0920-5632(01)01595-X_BIB19
  contributor:
    fullname: Gilkey
– volume: 65
  year: 1986
  ident: 10.1016/S0920-5632(01)01595-X_BIB26
  article-title: Functional Calculus of Pseudo Differential Boundary Problems
  contributor:
    fullname: Grubb
– volume: 83
  start-page: 4690
  year: 1999
  ident: 10.1016/S0920-5632(01)01595-X_BIB33_1
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.83.4690
  contributor:
    fullname: Randall
– volume: A34
  start-page: 1153
  year: 2001
  ident: 10.1016/S0920-5632(01)01595-X_BIB22
  article-title: Heat Trace Asymptotics of a time dependent process
  publication-title: J. Phys.
  contributor:
    fullname: Gilkey
– volume: 91
  start-page: 963
  year: 1969
  ident: 10.1016/S0920-5632(01)01595-X_BIB34
  publication-title: Amer. J. Math.
  doi: 10.2307/2373312
  contributor:
    fullname: Seeley
– volume: 16
  start-page: 133
  year: 1970
  ident: 10.1016/S0920-5632(01)01595-X_BIB25
  article-title: Global Analysis
  publication-title: Amer. Math. Soc. Proc. Symp. Pure Math.
  doi: 10.1090/pspum/016/0265784
  contributor:
    fullname: Greiner
– volume: 181
  year: 1972
  ident: 10.1016/S0920-5632(01)01595-X_BIB28
  contributor:
    fullname: Lions
– volume: 6
  start-page: 31
  year: 1996
  ident: 10.1016/S0920-5632(01)01595-X_BIB17_2
  publication-title: J. Geom. Anal.
  doi: 10.1007/BF02921566
  contributor:
    fullname: Grubb
– volume: 121
  start-page: 481
  year: 1995
  ident: 10.1016/S0920-5632(01)01595-X_BIB17_1
  publication-title: Invent. Math.
  doi: 10.1007/BF01884310
  contributor:
    fullname: Grubb
– volume: 130A
  start-page: 307
  year: 2000
  ident: 10.1016/S0920-5632(01)01595-X_BIB7
  publication-title: Proc. of Royal Society Edinburgh
  doi: 10.1017/S0308210500000172
  contributor:
    fullname: van den Berg
– volume: A32
  start-page: 2825
  year: 1999
  ident: 10.1016/S0920-5632(01)01595-X_BIB20
  publication-title: J. Phys.
  contributor:
    fullname: Gilkey
– volume: 2
  start-page: 147
  year: 1993
  ident: 10.1016/S0920-5632(01)01595-X_BIB5
  publication-title: Topological Methods in Nonlinear Analysis
  doi: 10.12775/TMNA.1993.035
  contributor:
    fullname: van den Berg
– volume: 80
  start-page: 203
  year: 1981
  ident: 10.1016/S0920-5632(01)01595-X_BIB32
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/0022-247X(81)90102-5
  contributor:
    fullname: Pryde
– volume: 77
  start-page: 43
  year: 1975
  ident: 10.1016/S0920-5632(01)01595-X_BIB2_1
  publication-title: Math. Proc. Camb. Phil. Soc.
  doi: 10.1017/S0305004100049410
  contributor:
    fullname: Atiyah
– volume: B229
  start-page: 261
  year: 1989
  ident: 10.1016/S0920-5632(01)01595-X_BIB30
  publication-title: Phys. Lett.
  doi: 10.1016/0370-2693(89)91168-4
  contributor:
    fullname: Moss
– volume: 9
  start-page: 71
  year: 1976
  ident: 10.1016/S0920-5632(01)01595-X_BIB2_3
  publication-title: Math. Proc. Camb. Phil. Soc.
  doi: 10.1017/S0305004100052105
  contributor:
    fullname: Atiyah
– year: 1990
  ident: 10.1016/S0920-5632(01)01595-X_BIB36
  contributor:
    fullname: Gray
– volume: 83
  start-page: 3370
  year: 1999
  ident: 10.1016/S0920-5632(01)01595-X_BIB33_2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.83.3370
  contributor:
    fullname: Randall
SSID ssj0002108
Score 1.3306218
Snippet The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat...
SourceID crossref
elsevier
SourceType Aggregation Database
Publisher
StartPage 63
Title Asymptotics of the heat equation with ‘exotic’ boundary conditions or with time dependent coefficients
URI https://dx.doi.org/10.1016/S0920-5632(01)01595-X
Volume 104
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEB5qi-BFfGJ9lD140MO2zWbzOpZiqYq9aCG3kGR3oYJtbSPYi_Rn6N_rL3F2k1gF8eAlh2V2CZPk--bbzM4AnMduIB2pLJoKKSlPXJf6LPGo8FKpVJAIx5zivxu4_SG_CZ2wAt3yLIxOqyywP8d0g9bFSKvwZms6GrXu2wFD9rb171zkZCfcgBrSEedVqHWub_uDL0BGVWMAGe2pnrA-yJMvYgYv2talWYeGv1PUN9rp7cB2ES-STn5Lu1CR4z3YNHmb6XwfHjvzxdM0m-hiy2SiCIZzRMMrkc95DW-iN1rJavkuX7XRavlBEtNJabYgKIVFnrFFJrPcULeaJ2Vj3AwtpCkxobMtDmDYu3ro9mnRPoGmqBMyKvDTdGNLKRmwBFmcBXGMAUaKF8E9mwkM3pCbkgAliOunsRIo9pTiEvWyiLltH0J1PBnLIyCCSSdlvutJ3-OBFfuWnfioRbgQTDHl1KFZeiya5lUyonX6GLo40i6O2lZkXByFdfBLv0Y_HneESP731OP_Tz2BLdPMxeygnEI1m73IM4wpsqQBG803q1G8OZ_5cspf
link.rule.ids 315,786,790,4043,4521,24144,27954,27955,27956,45618,45712
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwED5BEYIF8RTl6YEBBtPGeY9VRRVeXWilbFYS2xJINKUNEmz8DPh7_SWcnYSChBhYMlh3VnRJvrvPuQfASeKF0pXKopmQkjqp59GApT4VfiaVClPhmir-274XDZ2r2I0XoFvXwui0ygr7S0w3aF2ttCprtsb39627dsjQe9v6dy76ZDdehCXH9S3WgKXO5XXU_wJkZDUGkFGeaoV5IU-5iVk8bVtnZh8a_-6ivrmd3jqsVfEi6ZS3tAELcrQJyyZvM5tuwUNn-vo4LnLdbJnkimA4RzS8EvlU9vAm-qCVzN7e5YsWmr19kNRMUpq8EqTCoszYIvmkFNSj5kk9GLdACWlaTOhsi20Y9i4G3YhW4xNohjyhoAI_TS-xlJIhS9GLszBJMMDI8CIc32YCgzf0TWmIFMQLskQJJHtKORL5skgc296BxigfyV0ggkk3Y4Hny8B3QisJLDsNkIs4QjDFlNuE89pifFx2yeDz9DE0Mdcm5m2LGxPzuAlBbVf-43FzRPK_Vff-r3oMK9Hg9obfXPav92HVDHYxpykH0Cgmz_IQ44siParen0_aesxP
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Asymptotics+of+the+heat+equation+with+%E2%80%98exotic%E2%80%99+boundary+conditions+or+with+time+dependent+coefficients&rft.jtitle=Nuclear+physics.+Section+B%2C+Proceedings+supplement&rft.au=Gilkey%2C+Peter+B.&rft.au=Kirsten%2C+Klaus&rft.au=Park%2C+JeongHyeong&rft.au=Vassilevich%2C+Dmitri&rft.date=2002&rft.pub=Elsevier+B.V&rft.issn=0920-5632&rft.eissn=1873-3832&rft.volume=104&rft.issue=1&rft.spage=63&rft.epage=70&rft_id=info:doi/10.1016%2FS0920-5632%2801%2901595-X&rft.externalDocID=S092056320101595X
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0920-5632&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0920-5632&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0920-5632&client=summon