Eigenvalue distribution of some fractal semi-elliptic differential operators: Combinatorial approach

被引：4

作者：

Naimark, K ^{[1
]}

Solomyak, M ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2001年 / 40卷 / 04期

关键词：

D O I：

10.1007/BF01198143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain the sharp order of growth of the eigenvalue distribution function for the operator in the anisotropic Sobolev space H-t1,H-t2(Q), generated by the quadratic form integral (Q) \u \ (2)d mu, where Q subset of R-2 is the unit square and mu is a probability self-affine fractal measure on Q. The geometry of Supp mu should be in a certain way consistent with the parameters t(1), t(2).

引用

页码：495 / 506

页数：12

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