QQ客服 官方微博 反馈留言

	Global well-posedness and scattering for the fourth order nonlinear Schrodinger equations with small data in modulation and Sobolev spaces
	Ruzhansky, Michael ; Wang, Baoxiang ; Zhang, Hua
	2016
关键词	Global well-posedness Fourth order nonlinear Schrodinger equations Small initial data Modulation and Sobolev spaces UNIMODULAR FOURIER MULTIPLIERS HIGHER-ORDER DISPERSION CAUCHY-PROBLEM REGULARITY REPRESENTATION OPERATORS MAPS NLS
英文摘要	The local well-posedness with small data in H-s (R-n) (s >= 3 + max(n/2,1(+))) for the Cauchy problem of the fourth order nonlinear Schrodinger equations with the third order derivative nonlinear terms were obtained by Huo and Jia [17]. In this paper we show its global well-posedness with small data in the modulation space M-2,1(7/2) and in Sobolev spaces Hn/2+7+/2. For a special nonlinear term containing only one third order derivative, we can show its global well posedness in M-2,1(7/2) H(n+1+)/2. (C) 2015 Elsevier Masson SAS. All rights reserved.; National Natural Science Foundation of China [11271023]; British-CSC Scholarship Project; EPSRC [EP/I019111/1]; SCI(E); ARTICLE; m.ruzhansky@imperial.ac.uk; wbx@math.pku.edu.cn; zhanghuamaths@163.com; 1; 31-65; 105
语种	英语
出处	SCI
出版者	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/439029]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ruzhansky, Michael,Wang, Baoxiang,Zhang, Hua. Global well-posedness and scattering for the fourth order nonlinear Schrodinger equations with small data in modulation and Sobolev spaces. 2016-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。