| 一类耦合非线性波相互作用模型初值问题解的全局适定性 | |
| Alternative Title | Global Well-Posedness of Soluitions to the Initial Value Problem for a Coupled Nonlinear Model of Wave Interaction |
| 冯学尚; 王连圭; 北京8701信箱 | |
| Department | 空间天气学国家重点实验室 |
| Source Publication | 吉首大学学报(自然科学版)
 |
| 1996 | |
| Volume | 17Issue:1Pages:8-15 |
| ISSN | 1007-2985 |
| Language | 中文 |
| Keyword | 耦合非线性波模型 Banach不动点原理 全局适定性 |
| Abstract | 本文利用Banach不动点原理对Hirota与Satsuma提出的一类耦合非线性波相互作用模型之初值问题进行了讨论，得到其解在Hs（R）XHs（R），S≥1，中的全局运定性。 |
| Other Abstract | Here is established the global well -posedness of solutions in Hs (R)XHs(R), S≥1 of the intial value problem for a coupled nonlinear model describing the interaction of two dispersive waves. The main idea comes from Kato s theory for nonlinear hyperbolic equations and results of singular integrals, which permits us ta use Banach s fixed point principle. The key point is the setup of the global a priori estimates for the solutions, which plays an important role in the derivation of global results. The present paper is a reversion of the author' s former report. |
| Funding Project | 中国科学院空间科学与应用研究中心 |
| Document Type | 期刊论文 |
| Identifier | http://ir.nssc.ac.cn/handle/122/1271 |
| Collection | 空间科学部 |
| Corresponding Author | 北京8701信箱 |
| Recommended Citation GB/T 7714 | 冯学尚,王连圭,北京8701信箱. 一类耦合非线性波相互作用模型初值问题解的全局适定性[J]. 吉首大学学报(自然科学版),1996,17(1):8-15. |
| APA | 冯学尚,王连圭,&北京8701信箱.(1996).一类耦合非线性波相互作用模型初值问题解的全局适定性.吉首大学学报(自然科学版),17(1),8-15. |
| MLA | 冯学尚,et al."一类耦合非线性波相互作用模型初值问题解的全局适定性".吉首大学学报(自然科学版) 17.1(1996):8-15. |
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| 19961718.pdf（168KB） | 开放获取 | CC BY-NC-SA | View Download | |||
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