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Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces

open access: yesElectronic Journal of Differential Equations, 2001
In this paper, we study the existence of global solutions to Schrodinger equations in one space dimension with a derivative in a nonlinear term. For the Cauchy problem we assume that the data belongs to a Sobolev space weaker than the finite energy space
Hideo Takaoka
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