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Remark on the low regularity well-posedness of the KP-I equation (2408.14932v1)
Published 27 Aug 2024 in math.AP
Abstract: We study the Cauchy problem to the KP-I equation posed on $\R2$. We prove that it is $C0$ 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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