ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA
文献类型：期刊论文
| 作者 | Wu Haigen1; Zhang Junyong3 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2012 |
| 卷号 | 32期号:5页码:1835-1850 |
| 关键词 | ENERGY SCATTERING WAVE-EQUATION SCHRODINGER-EQUATIONS CUBIC CONVOLUTION NONLINEARITY OPERATORS Klein-Gordon equation Hartree nonlinearity decay estimate scattering theory |
| ISSN号 | 0252-9602 |
| 其他题名 | On the decay and scattering for the klein-gordon-hartree equation with radial data |
| 英文摘要 | 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). |
| 资助项目 | [National Science Foundation of China] ; [China Postdoctoral Science Foundation] ; [Guozhi Xu Posdoctoral Research Foundation] ; [Doctoral Foundation of Henan Polytechnic University] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4681627 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53628]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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