A Liouville theorem for the Degasperis-Procesi equation
Résumé
We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point $(t_0,x_0)$, is the identically zero solution. We also establish the analogue of such Liouville-type theorem for the Degasperis-Procesi equation with an additional dispersive term.
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