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 $H^s(\R^n)\cap L^2(|x|^ldx),\;s,\,l>0$Comment: RIMS Kokyuroku Bessatsu (RIMS Proceedings, Extra Issue