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most citedIll-posedness for nonlinear Schrodinger and wave equations

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math.AP2006

A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order

Michael Christ, James Colliander, Terence Tao

Solutions to the Cauchy problem for the one-dimensional cubic nonlinear Schrödinger equation on the real line are studied in Sobolev spaces , for negative but close to 0.…