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The Global Cauchy Problem for the Critical and Subcritical Nonlinear Schrodinger Equations in Hs |
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| Authors: | Baoxiang Wang |
| Abstract: | In this paper, the local and global existence of solutions for the Cauchy problem of the critical and subcritical nonlinear Schrödinger equations in H^s (s ≥ 2) is studied by using the manner of formal differentiation with respect to time. Some conjectures posed by Cazenave and Weissler in 1] are verified. |
| Keywords: | Nonlinear Schrödinger equation Cauchy problem critical and subcritical powers in H^s global existence |
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