NSSC OpenIR  > 空间科学部
 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 CitationGB/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.
 Files in This Item: File Name/Size DocType Version Access License 19961718.pdf（168KB） 开放获取 CC BY-NC-SA Application Full Text
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [冯学尚]'s Articles [王连圭]'s Articles [北京8701信箱]'s Articles Baidu academic Similar articles in Baidu academic [冯学尚]'s Articles [王连圭]'s Articles [北京8701信箱]'s Articles Bing Scholar Similar articles in Bing Scholar [冯学尚]'s Articles [王连圭]'s Articles [北京8701信箱]'s Articles Terms of Use No data! Social Bookmark/Share