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arXiv · 1405.6675

A Liouville theorem for the Degasperis-Procesi equation

Lorenzo Brandolese
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Abstract

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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Lorenzo Brandolese. 2014-05-26. A Liouville theorem for the Degasperis-Procesi equation. https://arxiv.org/abs/1405.6675

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