Artículos de revistas
Weak Concentration And Wave Operator For A 3d Coupled Nonlinear Schrödinger System
Registro en:
Journal Of Mathematical Physics. American Institute Of Physics Inc., v. 56, n. 2, p. - , 2015.
222488
10.1063/1.4908555
2-s2.0-84923599276
Autor
Pastor A.
Institución
Resumen
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlinear Schrödinger 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. 56 2
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