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arXiv · 1112.5177

A-priori bounds for KdV equation below $H^{-3/4}$

Baoping Liu
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Abstract

We consider the Korteweg-de Vries Equation (KdV) on the real line, and prove that the smooth solutions satisfy a-priori local in time $H^s$ bound in terms of the $H^s$ size of the initial data for $s\geq -4/5$.

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Baoping Liu. 2011-12-21. A-priori bounds for KdV equation below $H^{-3/4}$. https://arxiv.org/abs/1112.5177

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