Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/85593
Type: Artigo
Title: Weak concentration and wave operator for a 3d coupled nonlinear Schrödinger system
Title Alternative: 
Author: Pastor, Ademir
Abstract: 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.
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
Subject: Schrödinger, Equação não-linear de
Equações dispersivas não-lineares
Ótica não-linear
Country: Estados Unidos
Editor: AIP Publishing
Citation: Journal Of Mathematical Physics. American Institute Of Physics Inc., v. 56, n. 2, p. - , 2015.
Rights: fechado
Identifier DOI: 10.1063/1.4908555
Address: https://aip.scitation.org/doi/full/10.1063/1.4908555
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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