ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA

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	ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA
其他题名	On the decay and scattering for the klein-gordon-hartree equation with radial data
	Wu Haigen 1; Zhang Junyong 3
	2012
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	32 期号:5 页码:1835-1850
摘要	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 come from the linear and nonlinear parts of the equation, respectively, we obtain the corresponding theory for energy subcritical and critical cases. The exponent range of the decay estimates is extended to 0 < gamma <= 4 and gamma < d with Hartree potential V(x) = vertical bar x vertical bar(-gamma).
其他摘要	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 come from the linear and nonlinear parts of the equation, respectively, we obtain the corresponding theory for energy subcritical and critical cases. The exponent range of the decay estimates is extended to 0 < γ≤ 4 and γ < d with Hartree potential V(x) = =\|x\|~(-γ).
关键词	ENERGY SCATTERING WAVE-EQUATION SCHRODINGER-EQUATIONS CUBIC CONVOLUTION NONLINEARITY OPERATORS Klein-Gordon equation Hartree nonlinearity decay estimate scattering theory
收录类别	CSCD
语种	英语
资助项目	[National Science Foundation of China] ; [China Postdoctoral Science Foundation] ; [Guozhi Xu Posdoctoral Research Foundation] ; [Doctoral Foundation of Henan Polytechnic University]
CSCD记录号	CSCD:4681627
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/53629
专题	中国科学院数学与系统科学研究院
作者单位	1.北京大学 2.中国科学院数学与系统科学研究院 3.中国科学院大学
推荐引用方式 GB/T 7714	Wu Haigen,Zhang Junyong. ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA[J]. ACTA MATHEMATICA SCIENTIA,2012,32(5):1835-1850.
APA	Wu Haigen,&Zhang Junyong.(2012).ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA.ACTA MATHEMATICA SCIENTIA,32(5),1835-1850.
MLA	Wu Haigen,et al."ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA".ACTA MATHEMATICA SCIENTIA 32.5(2012):1835-1850.