| Abstract |
In this article, we prove that the initial value problem associated with the Korteweg-de Vries equation is well-posed in weighted Sobolev spaces X-s,X-theta, for s >= 2 theta >= 2 and the initial value problem associated with the nonlinear Schrodinger equation is well-posed in weighted Sobolev spaces X-s,X-theta, for s > theta >= 1. Persistence property has been proved by approximation of the solutions and using a priori estimates. |
