A note on the illposedness for anisotropic nonlinear Schrodinger equation

doi:10.1007/s10114-007-5418-3

CSpace

	A note on the illposedness for anisotropic nonlinear Schrodinger equation
	Zhang, Xiao Yi
	2008-06-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	24 期号:6 页码:891-900
摘要	In this short note, we show the illposedness of anisotropic Schrodinger equation in L(2) if the growth of nonlinearity is larger than a threshold power p which is also the critical power for blowup, as Fibich, Ilan and Schochet have pointed out recently. The illposedness in anisotropic Sobolev space H(k,d-k)(2s,s) where 0 < s < s(c), s(c) = d/2 - k/4 - 2/p-1, and the illposedness in Sobolev space of negative order H(s), s < 0 are also proved.
关键词	anisotropic Schrodinger equation anisotropic Sobolev space illposedness
DOI	10.1007/s10114-007-5418-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000257436500002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6878
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xiao Yi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Xiao Yi. A note on the illposedness for anisotropic nonlinear Schrodinger equation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2008,24(6):891-900.
APA	Zhang, Xiao Yi.(2008).A note on the illposedness for anisotropic nonlinear Schrodinger equation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,24(6),891-900.
MLA	Zhang, Xiao Yi."A note on the illposedness for anisotropic nonlinear Schrodinger equation".ACTA MATHEMATICA SINICA-ENGLISH SERIES 24.6(2008):891-900.