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arXiv · 1010.5012

On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces

Joules Nahas·Gustavo Ponce
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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 $H^s(\R^n)\cap L^2(|x|^ldx),\;s,\,l>0$

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Joules Nahas, Gustavo Ponce. 2010-10-24. On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces. https://arxiv.org/abs/1010.5012

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