instability of standing wave, global existence and blowup for the klein-gordon-zakharov system with different-degree nonlinearities
文献类型：期刊论文
| 作者 | Zaihui Gan ; Boling Guo ; Zhang Jian |
| 刊名 | Journal of Differential Equations
 |
| 出版日期 | 2009 |
| 卷号 | 246期号:10页码:4097-4128 |
| 关键词 | Klein–Gordon–Zakharov system Standing wave Global existence Blowup Instability |
| 中文摘要 | This paper discusses the Klein–Gordon–Zakharov system with different-degree nonlinearities in two and three space dimensions. Firstly, we prove the existence of standing wave with ground state by applying an intricate variational argument. Next, by introducing an auxiliary functional and an equivalent minimization problem, we obtain two invariant manifolds under the solution flow generated by the Cauchy problem to the aforementioned Klein–Gordon–Zakharov system. Furthermore, by constructing a type of constrained variational problem, utilizing the above two invariant manifolds as well as applying potential well argument and concavity method, we derive a sharp threshold for global existence and blowup. Then, combining the above results, we obtain two conclusions of how small the initial data are for the solution to exist globally by using dilation transformation. Finally, we prove a modified instability of standing wave to the system under study. |
| 语种 | 英语 |
| 公开日期 | 2010-08-11 |
| 源URL | [http://124.16.136.157/handle/311060/3140]  |
| 专题 | 软件研究所_计算机科学国家重点实验室 _期刊论文 |
| 推荐引用方式 GB/T 7714 | Zaihui Gan,Boling Guo,Zhang Jian. instability of standing wave, global existence and blowup for the klein-gordon-zakharov system with different-degree nonlinearities[J]. Journal of Differential Equations,2009,246(10):4097-4128. |
| APA | Zaihui Gan,Boling Guo,&Zhang Jian.(2009).instability of standing wave, global existence and blowup for the klein-gordon-zakharov system with different-degree nonlinearities.Journal of Differential Equations,246(10),4097-4128. |
| MLA | Zaihui Gan,et al."instability of standing wave, global existence and blowup for the klein-gordon-zakharov system with different-degree nonlinearities".Journal of Differential Equations 246.10(2009):4097-4128. |
入库方式： OAI收割
来源：软件研究所
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