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 Schrödinger equation, the $k$-generalized Korteweg-de Vries equation and the Benjamin-Ono equation, in weighted Sobolev spaces $H^s({\mathbb{R}}^n)\cap L^2(|x{|}^{l}dx),s,l>0$

RIMS Kokyuroku Bessatsu (RIMS Proceedings, Extra Issue)

References in corpus (3)

• Nonlinear wave interactions for the Benjamin-Ono equation
• A remark on global well-posedness below L^2 for the gKdV-3 equation
• On the decay properties of solutions to a class of Schrödinger equations