On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces
Abstract
We study persistence properties of solutions to some canonical dispersive models, namely the semi-linear Schr\"odinger equation, the k-generalized Korteweg-de Vries equation and the Benjamin-Ono equation, in weighted Sobolev spaces Hs(n) L2(|x|ldx),\;s,\,l>0
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