Spectral theory for isotropic fractal drums

被引:42
作者
Edmunds, D [1 ]
Triebel, H
机构
[1] Univ Sussex, Sch Math Sci, Brighton BN1 9QH, E Sussex, England
[2] Univ Jena, Fak Math & Informat, D-07740 Jena, Germany
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 11期
关键词
D O I
10.1016/S0764-4442(98)80177-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the behaviour of eigenvalues in problems which correspond to the vibrations of a drum, the whole mass of which is concentrated on a fractal subset of the drum. (C) Academie des Sciences/Elsevier, Paris.
引用
收藏
页码:1269 / 1274
页数:6
相关论文
共 7 条
  • [1] EDMUDNS DE, 1996, FUNCTION SPACES ENTR
  • [2] Naimark K, 1995, MATH RES LETT, V2, P279
  • [3] NAIMARK K, 1994, CR ACAD SCI I-MATH, V319, P837
  • [4] ON A SPECTRAL PROBLEM RELATED TO SELF-SIMILAR MEASURES
    SOLOMYAK, M
    VERBITSKY, E
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1995, 27 : 242 - 248
  • [5] TRIEBEL H, 1992, THEORY FUCNTION SPAC, V2
  • [6] Triebel H., 2010, Theory of Function Spaces
  • [7] TRIEBEL H, 1997, FRACTALS AND SPECTRA, DOI DOI 10.1007/978-3-0348-0034-1