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arxiv: 1010.5001 · v2 · pith:HLV3XO7Cnew · submitted 2010-10-24 · 🧮 math.AP

A decay property of solutions to the k-generalized KdV equation

classification 🧮 math.AP
keywords equationk-generalizedconditionsdecayderivativesfractionalinequalityleibnitz
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We use a Leibnitz rule type inequality for fractional derivatives to prove conditions under which a solution $u(x,t)$ of the k-generalized KdV equation is in the space $L^2(|x|^{2s}\,dx)$ for $s \in \mathbb R_{+}$.

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