Blow-up phemomenon for the 3-component Degasperis-Procesi equation
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917359470510080 |
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| author | Liu, Song Yin, Zhaoyang |
| author_facet | Liu, Song Yin, Zhaoyang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22952 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Blow-up phemomenon for the 3-component Degasperis-Procesi equation Liu, Song Yin, Zhaoyang Analysis of PDEs 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. |
| title | Blow-up phemomenon for the 3-component Degasperis-Procesi equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.22952 |