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math.AP2005
Power series solution of a nonlinear Schroedinger equation
Michael Christ
A slightly modified variant of the cubic periodic one-dimensional nonlinear Schroedinger equation is shown to admit weak solutions for all initial data in certain function spaces w…
math.AP2005★ 15 cited
Nonuniqueness of weak solutions of the nonlinear Schroedinger equation
Michael Christ
Generalized solutions of the Cauchy problem for the one-dimensional periodic nonlinear Schrödinger equation, with certain nonlinearities, are not unique. For any there exist…