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	Poincare-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS
	Guo, Zihua ; Kwon, Soonsik ; Oh, Tadahiro
	2013
关键词	NONLINEAR SCHRODINGER-EQUATION ILL-POSEDNESS KDV EQUATION I-METHOD H-S
英文摘要	We implement an infinite iteration scheme of Poincar,-Dulac normal form reductions to establish an energy estimate on the one-dimensional cubic nonlinear Schrodinger equation (NLS) in , without using any auxiliary function space. This allows us to construct weak solutions of NLS in with initial data in as limits of classical solutions. As a consequence of our construction, we also prove unconditional well-posedness of NLS in for s >= 1/6.; Physics, Mathematical; SCI(E); 1; ARTICLE; 1; 19-48; 322
语种	英语
出处	SCI
出版者	communications in mathematical physics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157463]
专题	数学科学学院
推荐引用方式 GB/T 7714	Guo, Zihua,Kwon, Soonsik,Oh, Tadahiro. Poincare-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS. 2013-01-01.

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