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Infinite propagation speed of the Camassa-Holm equation

Lenells, Jonatan LU (2007) In Journal of Mathematical Analysis and Applications 325(2). p.1468-1478
Abstract
We use the inverse scattering transform to show that a solution of the Camassa-Holm equation is identically zero whenever it vanishes on two horizontal half-lines in the x-t space. In particular, a solution that has compact support at two different times vanishes everywhere, proving that the Carnassa-Holm equation has infinite propagation speed. (c) 2006 Elsevier Inc. All rights reserved.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
infinite, shallow water equation, inverse scattering transform, propagation speed, Camassa-Holm equation
in
Journal of Mathematical Analysis and Applications
volume
325
issue
2
pages
1468 - 1478
publisher
Elsevier
external identifiers
  • wos:000242730600049
  • scopus:33750351968
ISSN
0022-247X
DOI
10.1016/j.jmaa.2006.02.045
language
English
LU publication?
yes
id
11f94015-eb45-4266-b3d1-997b584d0344 (old id 682223)
date added to LUP
2016-04-01 15:32:05
date last changed
2022-01-28 05:49:04
@article{11f94015-eb45-4266-b3d1-997b584d0344,
  abstract     = {{We use the inverse scattering transform to show that a solution of the Camassa-Holm equation is identically zero whenever it vanishes on two horizontal half-lines in the x-t space. In particular, a solution that has compact support at two different times vanishes everywhere, proving that the Carnassa-Holm equation has infinite propagation speed. (c) 2006 Elsevier Inc. All rights reserved.}},
  author       = {{Lenells, Jonatan}},
  issn         = {{0022-247X}},
  keywords     = {{infinite; shallow water equation; inverse scattering transform; propagation speed; Camassa-Holm equation}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{1468--1478}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Mathematical Analysis and Applications}},
  title        = {{Infinite propagation speed of the Camassa-Holm equation}},
  url          = {{http://dx.doi.org/10.1016/j.jmaa.2006.02.045}},
  doi          = {{10.1016/j.jmaa.2006.02.045}},
  volume       = {{325}},
  year         = {{2007}},
}