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arxiv: 1405.6675 · v2 · pith:HNW64PEHnew · submitted 2014-05-26 · 🧮 math.AP

A Liouville theorem for the Degasperis-Procesi equation

classification 🧮 math.AP
keywords degasperis-procesiequationsolutiontheoremadditionalanaloguedispersiveestablish
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We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), 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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