KLEIN-GORDON

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LOCAL STRUCTURE-PRESERVING ALGORITHMS FOR THE KLEIN-GORDON-ZAKHAROV EQUATION被引量：1
《Acta Mathematica Scientia》2023年第3期1211-1238,共28页汪佳玲 周政婷 王雨顺 
supported by the National Natural Science Foundation of China(11801277,11771213,12171245)。
In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multisymplectic algorithms, four local energy-preser...
关键词：Klein-Gordon-Zakharov(KGZ)equation local preservation law local momentum-preserving algorithms multi-symplectic algorithms local energy-preserving algorithms 
GROUND STATE SOLUTIONS FOR THE CRITICAL KLEIN-GORDON-MAXWELL SYSTEM被引量：1
《Acta Mathematica Scientia》2019年第5期1451-1460,共10页Lixia WANG Xiaoming WANG Luyu ZHANG 
partially supported by the National Natural Science Foundation of China(11801400,11571187);partially supported by the National Natural Science Foundation of China(11861053);the Postdoctoral Science Foundation of China(2017M611159)
In this article,we study the following Klein-Gordon-Maxwell system involving critical exponent■where λ and w are two positive constants.We found the existence of positive ground state solutions(that is,for solutions...
关键词：ground state solution Klein-Gordon-Maxwell system Ekeland's VARIATIONAL principle MOUNTAIN PASS theorem 
GLOBAL WELL-POSEDNESS IN ENERGY SPACE OF SMALL AMPLITUDE SOLUTIONS FOR KLEIN-GORDON-ZAKHAROV EQUATION IN THREE SPACE DIMENSION
《Acta Mathematica Scientia》2016年第4期1117-1152,共36页霍朝辉 
supported by the NSF of China(11471323)
The Cauchy problem of the Klein-Gordon-Zakharov equation in three dimensional space is considered. It is shown that it is globally well-posed in energy space H^1 × L^2 × L^2 × H^-1 if sm...
关键词：Global well-posedness 3D Klein-Gordon-Zakharov equation dyadic Xs b spacesin higher dimension 
ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA
《Acta Mathematica Scientia》2012年第5期1835-1850,共16页毋海根 张军勇 
H.G.Wu was supported by the National Science Foundation of China (11071057,10801015);China Postdoctoral Science Foundation (20100470570);the Guozhi Xu Posdoctoral Research Foundation;Doctoral Foundation of Henan Polytechnic University
In this paper,we study the decay estimate and scattering theory for the Klein-Gordon-Hartree equation with radial data in space dimension d≥3.By means of a compactness strategy and two Morawetz-type estimates which c...
关键词：Klein-Gordon equation Hartree nonlinearity decay estimate scattering theory 
A NOTE ON NONAUTONOMOUS KLEIN-GORDON-SCHRDINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITION被引量：1
《Acta Mathematica Scientia》2008年第4期823-833,共11页赵才地 周盛凡 李用声 
the NNSFC(10771139 and 10771074);NSF of Wenzhou University(2007L024);NSF of Guangdong Province(004020077)
This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrodinger equations with homogeneous Dirichlet boundary condition.The authors prove the existence of compact ...
关键词：Nonautonomous Klein-Gordon-SchrSdinger equations kernel sections weakly dissipation uniformly asymptotic compactness 
GLOBAL EXISTENCE OF SOLUTIONS FOR QUADRATIC QUASI-LINEAR KLEIN-GORDON SYSTEMS IN ONE SPACE DIMENSION被引量：2
《Acta Mathematica Scientia》2005年第2期340-358,共19页薛儒英 方道元 
Supported by NSF of China (10271108)
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 conv...
关键词：Klein-Gordon equation global existence asymptotic behavior 
EXISTENCE TIME FOR SOLUTIONS OFSEMILINEAR DIFFERENT SPEED KLEIN-GORDONSYSTEM WITH WEAK DECAY DATA IN 1D被引量：2
《Acta Mathematica Scientia》2002年第1期79-98,共20页方道元 
NSF of China 19671072 and partially by 19971077
A -4/3|log |-2 result is obtained for the existence time of solutions of semi- linear different speed Klein-Gordon system in one space dimension for weakly decaying Cauchy data, of size , in certain circumstances of ...
关键词：Weakly decaying Cauchy data existence time. Klein-Gordon equations with different speeds 
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