Zeros of eigenfunctions of a class of generalized second order differential operators on the Cantor set

被引:15
作者
Freiberg, U
Löbus, JU
机构
[1] Univ Jena, Math Inst, D-07740 Jena, Germany
[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
关键词
generalized second order differential operators; Cantor set; zeros of eigenfunctions;
D O I
10.1002/mana.200310133
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Generalized second order differential operators of the form d/dmu d/dx when mu is a selfsimilar measure whose support is the classical Cantor set are considered. The asymptotic distribution of the zeros of the eigenfunctions is determined. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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页码:3 / 14
页数:12
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