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Energy and local energy bounds for the 1-D cubic NLS equation in H^{-1/4}
Energy local energy bounds 1-D cubic NLS equation
2011/1/17
We consider the cubic Nonlinear Schr¨odinger Equation (NLS) in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a-priori local in time Hs bounds in terms of the ...