Remark on the low regularity well-posedness of the KP-I equation
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916371159318528 |
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| author | Guo, Zihua |
| author_facet | Guo, Zihua |
| contents | We study the Cauchy problem to the KP-I equation posed on $\R^2$. We prove that it is $C^0$ locally well-posed in $H^{s,0}(\R\times \R)$ for $s>1/2$, which improves the previous results in \cite{GPW,GMo}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14932 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Remark on the low regularity well-posedness of the KP-I equation Guo, Zihua Analysis of PDEs We study the Cauchy problem to the KP-I equation posed on $\R^2$. We prove that it is $C^0$ locally well-posed in $H^{s,0}(\R\times \R)$ for $s>1/2$, which improves the previous results in \cite{GPW,GMo}. |
| title | Remark on the low regularity well-posedness of the KP-I equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.14932 |