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On the well-posedness of the KP-I equation (2404.12364v1)
Published 18 Apr 2024 in math.AP
Abstract: We revisit the local well-posedness for the KP-I equation. We obtain unconditional local well-posedness in $H{s,0}({\mathbb R}2)$ for $s>3/4$ and unconditional global well-posedness in the energy space. We also prove the global existence of perturbations with finite energy of non decaying smooth global solutions.
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