On the construction of non-isometric isospectral fractal drums in R3 and spectral asymptotics

被引：0
|
作者：
Chen, H. [1 ]
Ke, L.-J. [1 ]
机构：
[1] School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China
来源：
Wuhan Daxue Xuebao/Journal of Wuhan University | 2001年 / 47卷 / 03期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a pair of disjoint non-isometric isospectral fractal drums in R3, in which the boundaries have the same Minkowski dimension. We also estimate the second asymptotic term for the Dirichlet counting function and obtain the exact second term and two side sharp estimates for the remainder term of the counting function. Our result shows Weyl-Berry conjecture is not true for the case here.
引用
收藏
页码：257 / 263
相关论文
共 50 条
  • [41] THE LOCAL ISOMETRIC EMBEDDING IN R3 OF TWO-DIMENSIONAL RIEMANNIAN-MANIFOLDS WITH NONNEGATIVE CURVATURE
    LIN, CS
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1985, 21 (02) : 213 - 230
  • [42] NON-ISOSPECTRAL DEFORMATIONS AND DARBOUX TRANSFORMATIONS FOR THE 3RD-ORDER SPECTRAL PROBLEM
    LEVI, D
    RAGNISCO, O
    INVERSE PROBLEMS, 1988, 4 (03) : 815 - 828
  • [43] Large time behavior for the non-Newtonian flow in R3
    Luo Wu
    Huizhao Liu
    Zongyao Wang
    Zeitschrift für angewandte Mathematik und Physik, 2008, 59 : 619 - 633
  • [44] AN ELLIPTIC EQUATION IN R3 WITH DISCONTINUOUS AND NON-DERIVABLE COEFFICIENTS
    CANFORA, A
    ZECCA, P
    ANNALI DI MATEMATICA PURA ED APPLICATA, 1985, 141 : 369 - 384
  • [45] NON-AUTONOMOUS SCHRODINGER-POISSON SYSTEM IN R3
    Sun, Juntao
    Wu, Tsung-Fang
    Feng, Zhaosheng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (04) : 1889 - 1933
  • [46] Large time behavior for the non-Newtonian flow in R3
    Wu, Luo
    Liu, Huizhao
    Wang, Zongyao
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2008, 59 (04): : 619 - 633
  • [47] Vanishing viscosity for non-homogeneous asymmetric fluids in R3
    Silva, P. Braz e
    Fernandez-Cara, E.
    Rojas-Medar, M. A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) : 833 - 845
  • [48] A Representation Formula for Non-conformal Harmonic Surfaces in R3
    Dioos, Bart
    Sakaki, Makoto
    RESULTS IN MATHEMATICS, 2019, 74 (01)
  • [49] Non-lattice-periodic tilings of R3 by single polycubes
    Gambini, I.
    Vuillon, L.
    THEORETICAL COMPUTER SCIENCE, 2012, 432 : 52 - 57
  • [50] Spectrality and non-spectrality of some Moran measures in R3
    Yang, Xin
    Ai, Wen-Hui
    ANNALS OF FUNCTIONAL ANALYSIS, 2022, 13 (04)
12345