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

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