ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS
2009 ◽
Vol 06
(03)
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pp. 549-575
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Keyword(s):
We investigate the initial value problem for a defocusing nonlinear Schrödinger equation with exponential nonlinearity [Formula: see text] We identify subcritical, critical, and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case.
2018 ◽
Vol 15
(04)
◽
pp. 599-621
2012 ◽
Vol 8
(4)
◽
pp. 1047-1074
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2015 ◽
Vol 17
(7)
◽
pp. 1687-1759
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1986 ◽
Vol 104
(3-4)
◽
pp. 309-327
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2014 ◽
Vol 98
(1)
◽
pp. 78-103
2015 ◽
Vol 16
(1)
◽
pp. 193-208
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1989 ◽
Vol 6
(6)
◽
pp. 1227
◽