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

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

2010-10-24

arxiv.org/abs/1010.5001v2

Mathematics

Analysis of PDEs

Scientific paper

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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