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

Hideo Takaoka; Stephen Gustafson; Tai-Peng Tsai

arxiv: 0803.3783 · v1 · submitted 2008-03-26 · 🧮 math.AP

Stability in H^(1/2) of the sum of K solitons for the Benjamin-Ono equation

Stephen Gustafson , Hideo Takaoka , Tai-Peng Tsai This is my paper

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keywords benjamin-onoequationsolitonsstabilityarrangedavoidcollisionsenergy

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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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Stability in H^(1/2) of the sum of K solitons for the Benjamin-Ono equation

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