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.
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页数：26
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