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math.AP2010★ 8 cited
On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces
Joules Nahas, Gustavo Ponce
We study persistence properties of solutions to some canonical dispersive models, namely the semi-linear Schrödinger equation, the -generalized Korteweg-de Vries equation and th…
math.AP2010
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces
German Fonseca, Gustavo Ponce
We study the initial value problem associated to the Benjamin-Ono equation. The aim is to establish persistence properties of the solution flow in the weighted Sobolev spaces $Z_{s…