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

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

2010-10-24

arxiv.org/abs/1010.5012v1

Mathematics

Analysis of PDEs

RIMS Kokyuroku Bessatsu (RIMS Proceedings, Extra Issue)

Scientific paper

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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