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	The well posedness of the dissipative Korteweg-de Vries equations with low regularity data
	Han, Jinsheng ; Peng, Lizhong
	2008
关键词	dissipative Korteweg de Vries equation Bourgain type space well posedness CAUCHY-PROBLEM
英文摘要	We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By working in a Bourgain type space we prove the local and global well posedness results for Sobolev spaces of negative order, and the order number is lower than the well known value -3/4. In some sense this paper is intended to show how the Bourgain type space is applicable to the study of semilinear equations with a linear part which contain both dissipative mid dispersive terms. (C) 2007 Elsevier Ltd. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; 2; ARTICLE; 1; 171-188; 69
语种	英语
出处	SCI ; EI
出版者	nonlinear analysis theory methods applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157798]
专题	数学科学学院
推荐引用方式 GB/T 7714	Han, Jinsheng,Peng, Lizhong. The well posedness of the dissipative Korteweg-de Vries equations with low regularity data. 2008-01-01.

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