A-priori bounds for KdV equation below H^(-3/4)
classification
🧮 math.AP
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a-prioriequationbelowboundboundsconsiderdatainitial
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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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