THE ESSENTIAL SPECTRUM OF NEUMANN LAPLACIANS ON SOME BOUNDED SINGULAR DOMAINS

被引：82

作者：

HEMPEL, R

SECO, LA

SIMON, B

机构：

[1] California Institute of Technology, Division of Mathematics, Physics and Astronomy, Pasadena

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 102卷 / 02期

关键词：

D O I：

10.1016/0022-1236(91)90130-W

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we consider Neumann Laplacians on singular domains of the type "rooms and passages" or "combs" and we show that, in typical situations, the essential spectrum can be determined from the geometric data. Moreover, given an arbitrary closed subset S of the non-negative reals, we construct domains Ω = Ω(S) such that the essential spectrum of the Neumann Laplacian on Ω is just this set S. © 1991.

引用

页码：448 / 483

页数：36

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