On the propagation of regularities in solutions of the Benjamin-Ono equation

被引：23

作者：

Isaza, Pedro ^{[1
]}

Linares, Felipe ^{[2
]}

Ponce, Gustavo ^{[3
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, Medellin 3840, Colombia

[2] IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil

[3] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2016年 / 270卷 / 03期

关键词：

Benjamin-Ono equation; Weighted Sobolev spaces; GLOBAL WELL-POSEDNESS; CAUCHY-PROBLEM;

D O I：

10.1016/j.jfa.2015.11.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall deduce some special regularity properties of solutions to the IVP associated to the Benjamin-Ono equation. Mainly, for datum u(0) is an element of H-3/2(R) whose restriction belongs to H-m((b, infinity)) for some m is an element of Z(+), m >= 2, and b is an element of R we shall prove that the restriction of the corresponding solution u(., t) belongs to H-m ((beta, infinity)) for any beta is an element of R and any t > 0. Therefore, this type of regularity of the datum travels with infinite speed to its left as time evolves. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：976 / 1000

页数：25

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