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Sharp local well-posedness for a fifth-order shallow water wave equation
Chen, Wengu ; Guo, Zihua ; Liu, Zeping
2010
关键词Dispersive equation Local well-posedness Bourgain space Initial value problem DISPERSIVE EQUATIONS REGULARITY
英文摘要In this paper we prove that the already-established local well-posedness in the range s > -5/4 of the Cauchy problem with an initial H(s)(R) data for a fifth-order shallow water wave equation is extendable to s = -5/4 by using the (F) over bar (s) space. This is sharp in the sense that the ill-posedness in the range s < -5/4 of this initial value problem is already known. (C) 2010 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277762200015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 2; ARTICLE; 1; 133-143; 369
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/20.500.11897/242379]  
专题数学科学学院
推荐引用方式
GB/T 7714
Chen, Wengu,Guo, Zihua,Liu, Zeping. Sharp local well-posedness for a fifth-order shallow water wave equation. 2010-01-01.
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