Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on zoll manifolds

被引：102

作者：

Bambusi, D.

Delort, J.-M.

Grebert, B.

Szeftel, J.

机构：

[1] Univ Milan, Dipartmento Matemat, I-20133 Milan, Italy

[2] Univ Paris 13, Lab Anal Geomet & Appl, CNRS, UMR 7539,Inst Galilee, F-93430 Villetaneuse, France

[3] Univ Nantes, Math Lab, CNRS, UMR 6629, F-44322 Nantes 3, France

[4] Princeton Univ, Univ Bordeaux 1, CNRS, UMR 5466, F-33405 Talence, France

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2007年 / 60卷 / 11期

关键词：

D O I：

10.1002/cpa.20181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on Zoll manifolds (e.g., spheres of arbitrary dimension) with Hamiltonian nonlinearities, when the Cauchy data are smooth and small. The proof relies on Birkhoff normal form methods and on the specific distribution of eigenvalues of the Laplacian perturbed by a potential on Zoll manifolds. (C) 2007 Wiley Periodicals, Inc.

引用

页码：1665 / 1690

页数：26

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