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摘要
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlinear Schrodinger system arising in nonlinear optics. A sharp criterion is given concerned with the dichotomy global existence versus finite time blow-up. When a radial solution blows up in finite time, we prove the concentration in the critical Lebesgue space. Sufficient condition for the scattering and the construction of the wave operator in the energy space is also provided.
- 出版日期2015-2
