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On coupled nonlinear Schrödinger systems
Arabian Journal of Mathematics ( IF 0.9 ) Pub Date : 2018-08-06 , DOI: 10.1007/s40065-018-0217-5 T. Saanouni
Arabian Journal of Mathematics ( IF 0.9 ) Pub Date : 2018-08-06 , DOI: 10.1007/s40065-018-0217-5 T. Saanouni
A class of coupled Schrödinger equations is investigated. First, in the stationary case, the existence of ground states is obtained and a sharp Gagliardo–Nirenberg inequality is discussed. Second, in the energy critical radial case, global well-posedness and scattering for small data are proved.
中文翻译:
关于耦合非线性Schrödinger系统
研究了一类耦合的薛定ding方程。首先,在平稳情况下,获得了基态的存在,并讨论了尖锐的Gagliardo-Nirenberg不等式。其次,在能量临界径向情况下,证明了小数据的整体适定性和散射性。
更新日期:2018-08-06
中文翻译:
关于耦合非线性Schrödinger系统
研究了一类耦合的薛定ding方程。首先,在平稳情况下,获得了基态的存在,并讨论了尖锐的Gagliardo-Nirenberg不等式。其次,在能量临界径向情况下,证明了小数据的整体适定性和散射性。