Artículos de revistas
Weak Concentration And Wave Operator For A 3d Coupled Nonlinear Schrodinger System
Registro en:
Weak Concentration And Wave Operator For A 3d Coupled Nonlinear Schrodinger System. Amer Inst Physics, v. 56, p. FEB-2015.
0022-2488
WOS:000350548200007
10.1063/1.4908555
Autor
Pastor
Ademir
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) 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. (C) 2015 AIP Publishing LLC. 56 2
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)