Well-posedness of the Cauchy problem for Ostrovsky, Stepanyams and Tsimring equation with low regularity data

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• 作者：Xiangqing Zhao ; Shangbin Cui
• 关键词：OST equation ; Initial value problem ; Local well-posedness ; Global well-posedness
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2008
• 出版时间：15 August 2008
• 年：2008
• 卷：344
• 期：2
• 页码：778-787
• 全文大小：155 K

文摘

In this paper we prove that the initial value problem of the OST equation 73481397683878f0a5a15""> (xR, t0), where η>0 and denotes the usual Hilbert transformation, is locally well-posed in the Sobolev space H^s(R) when , and globally well-posed in H^s(R) when s0.