On the one dimensional cubic NLS in a critical space
Keyword(s):
<p style='text-indent:20px;'>In this note we study the initial value problem in a critical space for the one dimensional Schrödinger equation with a cubic non-linearity and under some smallness conditions. In particular the initial data is given by a sequence of Dirac deltas with different amplitudes but equispaced. This choice is motivated by a related geometrical problem; the one describing the flow of curves in three dimensions moving in the direction of the binormal with a velocity that is given by the curvature.</p>
1950 ◽
Vol 200
(1063)
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pp. 572-580
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1993 ◽
Vol 6
(3)
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pp. 67-73
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2005 ◽
Vol 50
(8-9)
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pp. 1345-1362
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2009 ◽
Vol 238
(6)
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pp. 687-698
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2009 ◽
Vol 06
(03)
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pp. 549-575
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1972 ◽
Vol 29
(19)
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pp. 1350-1353
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