Local existence, global existence, and scattering for the nonlinear Schrödinger equation
2017 ◽
Vol 19
(02)
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pp. 1650038
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Keyword(s):
In this paper, we construct for every [Formula: see text] and [Formula: see text] a class of initial values [Formula: see text] for which there exists a local solution of the nonlinear Schrödinger equation [Formula: see text] on [Formula: see text] with the initial condition [Formula: see text]. Moreover, we construct for every [Formula: see text] a class of (arbitrarily large) initial values for which there exists a global solution that scatters as [Formula: see text].
2019 ◽
Vol 24
(7)
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pp. 3335-3356
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2006 ◽
Vol 320
(2)
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pp. 591-598
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Global existence and blow up of solutions for the inhomogeneous nonlinear Schrödinger equation in R2
2008 ◽
Vol 338
(2)
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pp. 1008-1019
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1995 ◽
Vol 09
(17)
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pp. 1045-1052
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2005 ◽
Vol 217
(1)
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pp. 88-123
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