Sharp local well-posedness for a fifth-order shallow water wave equation

被引：3
作者：
Chen, Wengu [1 ]
Guo, Zihua [2 ]
Liu, Zeping [3 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China
[3] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 01期
关键词：
Dispersive equation; Local well-posedness; Bourgain space; Initial value problem; DISPERSIVE EQUATIONS; REGULARITY;
D O I：
10.1016/j.jmaa.2010.02.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：133 / 143
页数：11
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