Low regularity for the nonlinear Klein-Gordon systems

Jia Yuan; Junyong Zhang

doi:10.1016/j.na.2008.01.026

Low regularity for the nonlinear Klein-Gordon systems

Jia Yuan, Junyong Zhang^*

^*此作品的通讯作者

China Academy of Engineering Physics

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we study the global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon system in R³. We prove the H^s-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon system. The method invoked is different from the well-known Bourgain's method [Jean Bourgain, Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, International Mathematial Research Notices 5 (1998) 253-283].

源语言	英语
页（从-至）	982-998
页数	17
期刊	Nonlinear Analysis, Theory, Methods and Applications
卷	70
期	2
DOI	https://doi.org/10.1016/j.na.2008.01.026
出版状态	已出版 - 15 1月 2009
已对外发布	是

访问文件

10.1016/j.na.2008.01.026

其它文件与链接

链接到 Scopus 的出版物

引用此

Yuan, J., & Zhang, J. (2009). Low regularity for the nonlinear Klein-Gordon systems. Nonlinear Analysis, Theory, Methods and Applications, 70(2), 982-998. https://doi.org/10.1016/j.na.2008.01.026

@article{444a20c6c3b248ebbd70281b89b22ed7,

title = "Low regularity for the nonlinear Klein-Gordon systems",

abstract = "In this paper, we study the global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon system in R3. We prove the Hs-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon system. The method invoked is different from the well-known Bourgain's method [Jean Bourgain, Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, International Mathematial Research Notices 5 (1998) 253-283].",

keywords = "Bony's decomposition, Klein-Gordon equations system, Low regularity, Well-posedness",

author = "Jia Yuan and Junyong Zhang",

year = "2009",

month = jan,

day = "15",

doi = "10.1016/j.na.2008.01.026",

language = "English",

volume = "70",

pages = "982--998",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd.",

number = "2",

}

TY - JOUR

T1 - Low regularity for the nonlinear Klein-Gordon systems

AU - Yuan, Jia

AU - Zhang, Junyong

PY - 2009/1/15

Y1 - 2009/1/15

N2 - In this paper, we study the global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon system in R3. We prove the Hs-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon system. The method invoked is different from the well-known Bourgain's method [Jean Bourgain, Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, International Mathematial Research Notices 5 (1998) 253-283].

AB - In this paper, we study the global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon system in R3. We prove the Hs-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon system. The method invoked is different from the well-known Bourgain's method [Jean Bourgain, Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, International Mathematial Research Notices 5 (1998) 253-283].

KW - Bony's decomposition

KW - Klein-Gordon equations system

KW - Low regularity

KW - Well-posedness

UR - http://www.scopus.com/inward/record.url?scp=56049112158&partnerID=8YFLogxK

U2 - 10.1016/j.na.2008.01.026

DO - 10.1016/j.na.2008.01.026

M3 - Article

AN - SCOPUS:56049112158

SN - 0362-546X

VL - 70

SP - 982

EP - 998

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Low regularity for the nonlinear Klein-Gordon systems

摘要

访问文件

其它文件与链接

指纹

引用此