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

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

2011-12-21

arxiv.org/abs/1112.5177v1

Mathematics

Analysis of PDEs

Scientific paper

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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