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Stability in the Energy Space of the Sum of N Peakons for the Degasperis–Procesi Equation

Abstract : The Degasperis-Procesi equation possesses well-known peaked solitary waves that are called peakons. Their stability has been established by Lin and Liu in [5]. In this paper, we localize the proof (in some suitable sense detailed in Section 3) of the stability of a single peakon. Thanks to this, we extend the result of stability to the sum of N peakons traveling to the right with respective speeds c1, . . . , cN , such that the difference between consecutive locations of peakons is large enough.
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Contributor : Andre Kabakouala <>
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André Kabakouala. Stability in the Energy Space of the Sum of N Peakons for the Degasperis–Procesi Equation. Journal of Differential Equations, Elsevier, 2015, 259 (5), pp.1841--1897. ⟨10.1016/j.jde.2015.03.014⟩. ⟨hal-01111847v4⟩

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