SMOOTHING EFFECT AND LARGE TIME BEHAVIOR OF SOLUTIONS TO SCHRÖDINGER EQUATIONS WITH NONLINEARITY OF INTEGRAL TYPE
2004 ◽
Vol 06
(04)
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pp. 681-703
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Keyword(s):
We study the smoothing effect in space and asymptotic behavior in time of solutions to the Cauchy problem for the nonlinear Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. A detailed description is given on the phase modification of scattering solutions by taking into account the long range effect of the interaction.
2001 ◽
Vol 2001
(2)
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pp. 146565
Keyword(s):
2014 ◽
Vol 202
(5)
◽
pp. 735-768
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Keyword(s):
2018 ◽
Vol 265
(5)
◽
pp. 2076-2120
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Keyword(s):
2019 ◽
Vol 30
(02)
◽
pp. 343-385
Keyword(s):
2008 ◽
Vol 05
(02)
◽
pp. 477-486
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1992 ◽
Vol 333
(1)
◽
pp. 365-378
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Keyword(s):
Keyword(s):