Heat trace asymptotics defined by transfer boundary conditions

被引：11
|
作者：
Gilkey, P
Kirsten, K
Vassilevich, D
机构：
[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA
[3] Baylor Univ, Dept Math, Waco, TX 76798 USA
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2003年 / 63卷 / 01期
关键词：
heat trace asymptotics; Laplace-type operator; transfer boundary conditions;
D O I：
10.1023/A:1022910823496
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We compute the first five terms in the short-time heat trace asymptotics expansion for an operator of the Laplace type with transfer boundary conditions using the functorial properties of these invariants.
引用
收藏
页码：29 / 37
页数：9
相关论文
共 50 条
  • [41] Asymptotics of the heat flow on a manifold with smooth boundary
    Savo, A
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2004, 12 (03) : 671 - 702
  • [42] Boltzmann asymptotics with diffuse reflection boundary conditions
    Arkeryd, L
    Nouri, A
    MONATSHEFTE FUR MATHEMATIK, 1997, 123 (04): : 285 - 298
  • [43] Boltzmann asymptotics with diffuse reflection boundary conditions
    L. Arkeryd
    A. Nouri
    Monatshefte für Mathematik, 1997, 123 : 285 - 298
  • [44] Heat Trace Asymptotics with Singular Weight Functions II
    M. van den Berg
    P. Gilkey
    K. Kirsten
    Journal of Geometric Analysis, 2011, 21 : 870 - 901
  • [45] HEAT TRANSFER WITH NONLINEAR BOUNDARY CONDITIONS VIA A VARIATIONAL PRINCIPLE
    VUJANOVIC, B
    STRAUSS, AM
    AIAA JOURNAL, 1971, 9 (02) : 327 - +
  • [46] The possibility of anomalous heat transfer in flows with nonequilibrium boundary conditions
    Aristov, V. V.
    Zabelok, S. A.
    Frolova, A. A.
    DOKLADY PHYSICS, 2017, 62 (03) : 149 - 153
  • [47] Boundary conditions for heat transfer through glass furnace brickwork
    V. Ya. Dzyuzer
    V. S. Shvydkii
    E. B. Sadykov
    Glass and Ceramics, 2012, 69 : 163 - 167
  • [48] Boundary conditions and integrated sensors in microchannel convective heat transfer
    Lee, Man
    Cheung, Luthur Siu Lun
    Lee, Yi-Kuen
    Zohar, Yitshak
    PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NANOCHANNELS, MICROCHANNNELS, AND MINICHANNELS, PTS A AND B, 2006, : 1365 - 1371
  • [49] Heat trace asymptotics of a time-dependent process
    Gilkey, P
    Kirsten, K
    Park, JH
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (06): : 1153 - 1168
  • [50] Heat Trace Asymptotics with Singular Weight Functions II
    van den Berg, M.
    Gilkey, P.
    Kirsten, K.
    JOURNAL OF GEOMETRIC ANALYSIS, 2011, 21 (04) : 870 - 901
12345