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arXiv · 2603.22952

Blow-up phemomenon for the 3-component Degasperis-Procesi equation

Song Liu·Zhaoyang Yin
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Abstract

In this paper, we consider the Cauchy problem of the 3-component Degasperis-Procesi equation. Firstly, we discuss a local well-posedness result and a blow-up criterion in the low besov space. Secondly, we study the blow-up phenomenon by using the method which does not require any conservation law. Finally, we investigate some persistence properties.

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Song Liu, Zhaoyang Yin. 2026-03-24. Blow-up phemomenon for the 3-component Degasperis-Procesi equation. https://arxiv.org/abs/2603.22952

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