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	Well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations in multi-dimensional spaces
	Hao, Chengchun ; Hsiao, Ling ; Wang, Baoxiang
	2007
关键词	fourth order nonlinear Schrodinger equations Cauchy problem well-posedness smoothing effects REGULARITY
英文摘要	We study the well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations ia(1)u = -Delta u + Delta(2)u + P((a(x)(alpha)u)(vertical bar alpha vertical bar <= 2), (a(x)(alpha)u)(vertical bar alpha vertical bar <= 2)), t is an element of R, x is an element of R", where epsilon is an element of {-1, 0, 1}, n >= 2 denotes the spatial dimension and P((.)) is a polynomial excluding constant and linear terms. (c) 2006 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 1; 58-83; 328
语种	英语
出处	SCI
出版者	数学分析与应用杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/251853]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hao, Chengchun,Hsiao, Ling,Wang, Baoxiang. Well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations in multi-dimensional spaces. 2007-01-01.

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