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arXiv · 2408.14932

Remark on the low regularity well-posedness of the KP-I equation

Zihua Guo
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Abstract

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}.

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Zihua Guo. 2024-08-27. Remark on the low regularity well-posedness of the KP-I equation. https://arxiv.org/abs/2408.14932

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