Counting Function Asymptotics and the Weak Weyl-Berry Conjecture for Connected Domains with Fractal Boundaries

被引：0

作者：

Chen Hua (Department of Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 1998年 / 02期

关键词：

Connected fractal domain; Counting function; Weyl-Berry conjecture;

D O I：

暂无

中图分类号：

O189 [拓扑（形势几何学）];

学科分类号：

070104 ;

摘要：

In this paper,we study the spectral asymptotics for connected fractal domains andWeyl-Berry conjecture.We prove,for some special connected fractal domains,the sharp estimatefor second term of counting function asymptotics,which implies that the weak form of the Weyl-Berry conjecture holds for the case.Finally,we also study a naturally connected fractal domain,andwe prove,in this case,the weak Weyl-Berry conjecture holds as well.

引用

页码：261 / 276

页数：16

共 23 条

[1] Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries
Chen Hua
Brian D. Sleeman
[J]. Acta Mathematica Sinica, 1998, 14 (2) : 261 - 276
[2] Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries
Chen, H
Sleeman, BD
[J]. ACTA MATHEMATICA SINICA-NEW SERIES, 1998, 14 (02): : 261 - 276
[3] Counting Function Asymptotics and the Weak Weyl-Berry Conjecture for Connected Domains with Fractal Boundaries
Chen Hua Department of MathematicsWuhan UniversityWuhan ChinaEmailchenhuawhueducnBrian DSleeman School of MathematicsUniversity of LeedsLeeds LS JTEnglandUKEmailbdsamstaleedsacuk
[J]. Acta Mathematica Sinica(New Series)., 1998, 14 (02) - 276
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