arXiv Analytics

Sign in

arXiv:0803.3783 [math.AP]AbstractReferencesReviewsResources

Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation

Stephen Gustafson, Hideo Takaoka, Tai-Peng Tsai

Published 2008-03-26Version 1

This note proves the orbital stability in the energy space $H^{1/2}$ of the sum of widely-spaced 1-solitons for the Benjamin-Ono equation, with speeds arranged so as to avoid collisions.

Categories: math.AP
Subjects: 35Q53, 35Q51, 35B35
Related articles: Most relevant | Search more
arXiv:math/0505479 [math.AP] (Published 2005-05-23, updated 2005-07-28)
Global well-posedness in the Energy space for the Benjamin-Ono equation on the circle
arXiv:math/0307289 [math.AP] (Published 2003-07-22, updated 2004-06-26)
Global well-posedness of the Benjamin-Ono equation in H^1(R)
arXiv:1409.2381 [math.AP] (Published 2014-09-08)
On the propagation of regularities in solutions of the Benjamin-Ono equation

Links

Toolbox