STABILITY FOR A MULTIDIMENSIONAL INVERSE SPECTRAL THEOREM

被引：40

作者：

ALESSANDRINI, G ^{[1
]}

SYLVESTER, J ^{[1
]}

机构：

[1] UNIV WASHINGTON,DEPT MATH,GN50,SEATTLE,WA 98195

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1990年 / 15卷 / 05期

关键词：

D O I：

10.1080/03605309908820705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the eigenvalue problem [formula ommitted] where Ω is a bounded domain in IRd(d ≥ 2) with smooth boundary, and q is a bounded, measurable function on Ω. The eigenvalue problem has discrete spectrum: we denote by {λj}∞j=1 and {ϕj}∞j=1 a nondecreasing sequence of eigenvalues and corresponding (orthonormal) eigenfunctions. It is known ([N-S-U]) that knowledge of the eigenvalues {λj}∞j=1 and the boundary values of the normal derivatives of the corresponding eigenfuntions,[formula ommitted] is sufficient to uniquely determine a C∞(Ω) coefficient, q. © 1990, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：711 / 736

页数：26