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STABILITY IN THE ENERGY SPACE OF THE SUM OF N PEAKONS FOR A CAMASSA-HOLM-TYPE EQUATION WITH QUARTIC NONLINEARITY

  • Liu, Xingxing (Department of Mathematics China University of Mining and Technology)
  • Received : 2018.05.29
  • Accepted : 2018.08.22
  • Published : 2019.05.31
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Abstract

Considered herein is the orbital stability in the energy space $H^1({\mathbb{R}})$ of a decoupled sum of N peakons for a Camassa-Holm-type equation with quartic nonlinearity, which admits single peakon and multi-peakons. Based on our obtained result of the stability of a single peakon, then combining modulation argument with monotonicity of local energy $H^1$-norm, we get the stability of the sum of N peakons.

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References

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