A-priori bounds for the 1-d cubic NLS in negative Sobolev spaces
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A-priori bounds for the 1-d cubic NLS in negative Sobolev spaces

  • Author(s): Koch, H
  • Tataru, D
  • et al.
Abstract

We consider the cubic Nonlinear Schrodinger Equation in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a-priori local in time H^s bounds in terms of the H^s size of the initial data for s greater than or equal to -1/6.

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