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

[21] Long-Time Existence for Semi-Linear Klein-Gordon Equations with Quadratic Potential
Zhang, Qidi
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2010, 35 (04) : 630 - 668
[22] GLOBAL EXISTENCE AND DECAY OF SOLUTIONS FOR A QUASI-LINEAR DISSIPATIVE PLATE EQUATION
Liu, Yongqin
Kawashima, Shuichi
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2011, 8 (03) : 591 - 614
[23] Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension
Segata, Jun-ichi
HOKKAIDO MATHEMATICAL JOURNAL, 2021, 50 (02) : 187 - 205
[24] Global Existence and Blowup for the Cubic Nonlinear Klein-Gordon Equations in Three Space Dimensions
Zhang, Jian
Gan, Zaihui
Guo, Boling
ADVANCED NONLINEAR STUDIES, 2010, 10 (02) : 315 - 329
[25] Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions
Hayashi, Nakao
Naumkin, Pavel I.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3826 - 3833
[26] GLOBAL EXISTENCE FOR COUPLED KLEIN-GORDON EQUATIONS WITH DIFFERENT SPEEDS
Germain, Pierre
ANNALES DE L INSTITUT FOURIER, 2011, 61 (06) : 2463 - 2506
[27] A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions
Katayama, Soichiro
Ozawa, Tohru
Sunagawa, Hideaki
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2012, 65 (09) : 1285 - 1302
[28] GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR QUASI-LINEAR DISSIPATIVE PLATE EQUATION
Liu, Yongqin
Kawashima, Shuichi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (03) : 1113 - 1139
[29] NON-EXISTENCE OF GLOBAL SOLUTIONS TO GENERALIZED DISSIPATIVE KLEIN-GORDON EQUATIONS WITH POSITIVE ENERGY
Korpusov, Maxim Olegovich
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[30] ON LONG TIME EXISTENCE FOR SMALL SOLUTIONS OF SEMI-LINEAR KLEIN-GORDON EQUATIONS ON THE TORUS
Delort, J. -M.
JOURNAL D ANALYSE MATHEMATIQUE, 2009, 107 : 161 - 194

← 1 2 3 4 5 →