Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schr¨odinger Equation

@inproceedings{TakaokaAlmostCL,
  title={Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schr¨odinger Equation},
  author={Hideo Takaoka and Terence Tao}
}
We prove an " almost conservation law " to obtain global-in-time well-posedness for the cubic, defo-cussing nonlinear Schrödinger equation in H s (R n) when n = 2, 3 and s > 4 7 , 5 6 , respectively. 
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