Bounded Solutions for the Degasperis-Procesi Equation
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 2, pp. 439-453

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This paper deals with the well-posedness in $L^{1} \cap L^{\infty}$ of the Cauchy problem for the Degasperis-Procesi equation. This is a third order nonlinear dispersive equation in one spatial variable and describes the dynamics of shallow water waves.
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     title = {Bounded {Solutions} for the {Degasperis-Procesi} {Equation}},
     journal = {Bollettino della Unione matematica italiana},
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Coclite, Giuseppe Maria; Karlsen, Kenneth H. Bounded Solutions for the Degasperis-Procesi Equation. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 2, pp. 439-453. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_2_a7/