Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II

被引：65

作者：

Cardoso, F ^{[1
]}

Vodev, G

机构：

[1] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

[2] Univ Nantes, Dept Math, CNRS, UMR 6639, F-44072 Nantes 03, France

来源：

ANNALES HENRI POINCARE | 2002年 / 3卷 / 04期

关键词：

D O I：

10.1007/s00023-002-8631-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove uniform weighted high frequency estimates for the resolvent of the Laplace-Beltrami operator on connected infinite volume Riemannian manifolds under sonic natural assumptions on the metric on the ends of the manifold. This extends previous results by Burq [3] and Vodev [8].

引用

页码：673 / 691

页数：19

共 48 条

[1] Uniform Estimates of the Resolvent of the Laplace-Beltrami Operator on Infinite Volume Riemannian Manifolds. II
F. Cardoso
G. Vodev
Annales Henri Poincaré, 2002, 3 : 673 - 691
[2] Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds with CUSPS
Vodev, G
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2002, 27 (7-8) : 1437 - 1465
[3] Uniform Sobolev Resolvent Estimates for the Laplace-Beltrami Operator on Compact Manifolds
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[4] Uniform Resolvent Estimates for Laplace-Beltrami Operator on the Flat Euclidean Cone
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[5] On Lp resolvent estimates for Laplace-Beltrami operators on compact manifolds
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[6] ON THE RESOLVENT OF THE LAPLACE-BELTRAMI OPERATOR IN HYPERBOLIC SPACE
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[7] Asymptotic behaviour of spectrum of Laplace-Beltrami operator on Riemannian manifolds with complex microstructure
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[8] Uniform Resolvent Estimates for Laplace–Beltrami Operator on the Flat Euclidean Cone
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Journal of Fourier Analysis and Applications, 2023, 29
[9] On the nature of the laplace-beltrami operator on Lipschitz manifolds
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Mitrea I.
Mitrea D.
Mitrea M.
Journal of Mathematical Sciences, 2011, 172 (3) : 279 - 346
[10] A MODEL FOR AN INFINITE DIMENSIONAL LAPLACE-BELTRAMI OPERATOR
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INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (03) : 327 - 340

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