A note on the Ostrovsky equation in weighted Sobolev spaces

被引：5
作者：
Bustamante, Eddye [1 ]
Jimenez Urrea, Jose [1 ]
Mejia, Jorge [1 ]
机构：
[1] Univ Nacl Colombia, Dept Matemat, Medellin 3840, Colombia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 460卷 / 02期
关键词：
Ostrovsky equation; Local well-posedness; Weighted Sobolev spaces; BENJAMIN-ONO-EQUATION; CAUCHY-PROBLEM; WELL-POSEDNESS; KDV EQUATION; REGULARITY;
D O I：
10.1016/j.jmaa.2017.12.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider the initial value problem (IVP) associated to the Ostrovsky equations u(t) + partial derivative(3)(x)u +/- partial derivative(-1)(x)u + u partial derivative(x)u = 0, x is an element of R, t is an element of R,} u(x,0) = u(0)(x). We study the well-posedness of the IVP in the weighted Sobolev spaces Z(s,s/2) := {f is an element of H-s (R) : partial derivative(-1)(x) f is an element of L-2(R)}boolean AND L-2(vertical bar x vertical bar(s)dx), with 3/4 < s <= 1. (C) 2017 Elsevier Inc. All rights reserved.
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页码：1004 / 1018
页数：15
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