Global wellposedness and scattering for 3D energy critical Schrodinger equation with repulsive potential and radial data

doi:10.1515/FORUM.2007.025

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	Global wellposedness and scattering for 3D energy critical Schrodinger equation with repulsive potential and radial data
	Zhang Xiaoyi
	2007
发表期刊	FORUM MATHEMATICUM
ISSN	0933-7741
卷号	19 期号:4 页码:633-675
摘要	In this paper, we show that the Cauchy problem of the 3D nonlinear Schr6dinger equation with repulsive potential is globally wellposed if the initial data u(0) is spherically symmetric and u(0) is an element of Sigma = {f, f is an element of H-1, xf is an element of L-2}. We also prove that the scattering operator is holomorphic from the radial functions in I to themselves. In order to preclude the possible energy concentration, we first show the energy concentration may occur only at finite time by using the decay estimate of potential energy parallel to u(t)parallel to(6), then we preclude the possible finite time energy concentration by inductive arguments.
DOI	10.1515/FORUM.2007.025
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000249370700003
出版者	WALTER DE GRUYTER & CO
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4914
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang Xiaoyi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Zhang Xiaoyi. Global wellposedness and scattering for 3D energy critical Schrodinger equation with repulsive potential and radial data[J]. FORUM MATHEMATICUM,2007,19(4):633-675.
APA	Zhang Xiaoyi.(2007).Global wellposedness and scattering for 3D energy critical Schrodinger equation with repulsive potential and radial data.FORUM MATHEMATICUM,19(4),633-675.
MLA	Zhang Xiaoyi."Global wellposedness and scattering for 3D energy critical Schrodinger equation with repulsive potential and radial data".FORUM MATHEMATICUM 19.4(2007):633-675.