Stability of determining a Dirichlet-Laplace-Beltrami operator from its boundary spectral data

被引：0

作者：

Choulli, Mourad ^{[1
]}

Yamamoto, Masahiro ^{[2
]}

机构：

[1] Univ Lorraine, F-54052 Nancy, France

[2] Univ Tokyo, Dept Math Sci, 3-8-1 Komaba, Meguro, Tokyo 153, Japan

来源：

ANALYSIS AND APPLICATIONS | 2025年

关键词：

Compact manifold; metric tensor; conformal factor; boundary spectral data; elliptic Dirichlet-to-Neumann map; hyperbolic Dirichlet-to-Neumann map; BORG-LEVINSON THEOREM; HYPERBOLIC DIRICHLET; RIEMANNIAN METRICS; WAVE-EQUATION; NEUMANN MAP;

D O I：

10.1142/S0219530524500465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish stability inequalities for the problem of determining a Dirichlet-Laplace-Beltrami operator from its boundary spectral data. We study the case of complete spectral data as well as the case of partial spectral data.

引用

页数：26

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