Asymptotic Theory for Nonlinear Klein-Gordon Equations

JIANG Liang-jun; JIANG Liang-chun

Volume 18 Issue 1

Feb. 2005

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Article Contents

Journal of Southwest Jiaotong University > 2005 > 18(1): 113-117.

JIANG Liang-jun, JIANG Liang-chun. Asymptotic Theory for Nonlinear Klein-Gordon Equations[J]. Journal of Southwest Jiaotong University, 2005, 18(1): 113-117.

Citation:

JIANG Liang-jun, JIANG Liang-chun. Asymptotic Theory for Nonlinear Klein-Gordon Equations[J]. Journal of Southwest Jiaotong University, 2005, 18(1): 113-117.

JIANG Liang-jun, JIANG Liang-chun. Asymptotic Theory for Nonlinear Klein-Gordon Equations[J]. Journal of Southwest Jiaotong University, 2005, 18(1): 113-117.

Citation:

JIANG Liang-jun, JIANG Liang-chun. Asymptotic Theory for Nonlinear Klein-Gordon Equations[J]. Journal of Southwest Jiaotong University, 2005, 18(1): 113-117.

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Asymptotic Theory for Nonlinear Klein-Gordon Equations

Publish Date: 25 Feb 2005

Abstract

Abstract

The asymptotic theory of Cauchy problems forn-dimensional Klein-Gordon equations was studied with global iterative technique. The well-posedness of the problem and the validity of formal approximations on a long time scalet∈[0,T(ε)), whereεis a small parameter, were proved in a proper Sobolev space.
- well-posedness,
- asymptotic theory,
- Klein-Gordon equations