Kdv and Almost Conservation Laws

  title={Kdv and Almost Conservation Laws},
  author={Gigliola Staffilani},
In this article we illustrate a new method to extend local well-posedness results for dispersive equations to global ones. The main ingredient of this method is the definition of a family of what we call almost conservation laws. In particular we analyze the Korteweg-de Vries initial value problem and we illustrate in general terms how the " algorithm… CONTINUE READING