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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