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Abstract We prove global existence for the one-dimensional cubic nonlinear Schrodinger equation in modulation spaces M p , p ′ for p sufficiently close to 2. In contrast to known… Click to show full abstract
Abstract We prove global existence for the one-dimensional cubic nonlinear Schrodinger equation in modulation spaces M p , p ′ for p sufficiently close to 2. In contrast to known results, [9] and [14] , our result requires no smallness condition on initial data. The proof adapts a splitting method inspired by work of Vargas–Vega, Hyakuna–Tsutsumi and Grunrock to the modulation space setting and exploits polynomial growth of the free Schrodinger group on modulation spaces.
Keywords:
modulation;
dimensional cubic;
existence;
one dimensional;
modulation space;
initial data
Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!