Global existence of solutions for quadratic quasi-linear Klein-Gordon systems in one space dimension

被引：2

作者：

Xue, RY ^{[1
]}

Fang, DY ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2005年 / 25卷 / 02期

关键词：

Klein-Cordon equation; global existence; asymptotic behavior;

D O I：

10.1016/S0252-9602(17)30292-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider quadratic quasi-linear Klein-Gordon systems with eventually different masses for small, smooth, compactly supported Cauchy data in one space dimension. It is proved that the global existence holds when a convenient null condition is satisfied by nonlinearities.

引用

页码：340 / 358

页数：19

共 50 条

[1] GLOBAL EXISTENCE OF SOLUTIONS FOR QUADRATIC QUASI-LINEAR KLEIN-GORDON SYSTEMS IN ONE SPACE DIMENSION
薛儒英
方道元
ActaMathematicaScientia, 2005, (02) : 340 - 358
[2] Global existence of small solutions for cubic quasi-linear Klein-Gordon systems in one space dimension
Fang, Dao Yuan
Xue, Ru Ying
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (04) : 1085 - 1102
[3] Global Existence of Small Solutions for Cubic Quasi-linear Klein-Gordon Systems in One Space Dimension
Dao Yuan FANG Ru Ying XUE Department of Mathematics
Acta Mathematica Sinica(English Series), 2006, 22 (04) : 1085 - 1102
[4] Global Existence of Small Solutions for Cubic Quasi–linear Klein–Gordon Systems in One Space Dimension
Dao Yuan Fang
Ru Ying Xue
Acta Mathematica Sinica, 2006, 22 : 1085 - 1102
[5] A quadratic quasi-linear Klein-Gordon equation in two space dimensions
Hayashi, Nakao
Naumkin, Pavel I.
JOURNAL OF EVOLUTION EQUATIONS, 2013, 13 (02) : 253 - 280
[6] A note on global existence of solutions to nonlinear Klein-Gordon equations in one space dimension
Katayama, S
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1999, 39 (02): : 203 - 213
[7] Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
Delort, JM
Fang, DY
Xue, RY
JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 211 (02) : 288 - 323
[8] A new proof of global existence for the Dirac Klein-Gordon equations in one space dimension
Bournaveas, N
JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 173 (01) : 203 - 213
[9] GLOBAL EXISTENCE AND ASYMPTOTICS FOR QUASI-LINEAR ONE-DIMENSIONAL KLEIN-GORDON EQUATIONS WITH MILDLY DECAYING CAUCHY DATA
Stingo, Annalaura
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2018, 146 (01): : 155 - 213
[10] A quadratic quasi-linear Klein–Gordon equation in two space dimensions
Nakao Hayashi
Pavel I. Naumkin
Journal of Evolution Equations, 2013, 13 : 253 - 280

← 1 2 3 4 5 →