Isospectral circular membranes

被引：9

作者：

Gottlieb, HPW ^{[1
]}

机构：

[1] Griffith Univ, Sch Sci, Nathan, Qld 4111, Australia

来源：

INVERSE PROBLEMS | 2004年 / 20卷 / 01期

关键词：

D O I：

10.1088/0266-5611/20/1/009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A prescription for finding the densities of circular membranes which are isospectral to a uniform circular membrane is extended to cover isospectrality to any circular membrane density, thereby also revealing the underlying group-theoretical structure which is further elucidated. Membranes isospectral to radial-density membranes no longer possess the radial symmetry, and some examples are discussed.

引用

页码：155 / 161

页数：7

共 15 条

[11] ON THE NODAL SETS OF THE EIGENFUNCTIONS OF CERTAIN HOMOGENEOUS AND NONHOMOGENEOUS MEMBRANES [J].