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On the Global Well-Posedness for the Periodic Quintic Nonlinear Schrödinger Equation
Xueying Yu, Haitian Yue
Source abstract
Abstract. In this paper, we consider the initial value problem for the quintic, defocusing nonlinear Schrödinger equation on [Formula: see text] with general data in the critical Sobolev space [Formula: see text]. We show that if a solution remains bounded in [Formula: see text] in its maximal interval of existence, then the solution exists globally in time.
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