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

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

2008-03-26

arxiv.org/abs/0803.3783v1

Mathematics

Analysis of PDEs

Scientific paper

10.1063/1.3032578

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.

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