Bounded Solutions for the Degasperis-Procesi Equation

Coclite, Giuseppe Maria ; Karlsen, Kenneth H.

Bollettino dell'Unione Matematica Italiana, Tome 1 (2008), p. 439-453 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

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.

Détail

Publié le : 2008-06-01

MR 2424303 | Zbl 1164.35071

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