DIRICHLET-NEUMANN BRACKETING FOR HORN-SHAPED REGIONS

被引：14

作者：

VANDENBERG, M

机构：

[1] Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 104卷 / 01期

关键词：

D O I：

10.1016/0022-1236(92)90092-W

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Dirichlet-Neumann bracketing to obtain sharp upper and lower bounds for the spectral counting function of the Dirichlet laplacian for a horn-shaped region in Rm. The first and second term (and an estimate for the remainder) in the asymptotic expansion of the spectral counting function are obtained for a region in R2 given by {(x1,x2: x1εR, x2ε, ∥x1∥·∥x2∥α<1}, 2- 1 2<α<2 1 2. © 1992.

引用

页码：110 / 120

页数：11

共 22 条

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