Averaging of the nonlinear Schrodinger equation with highly oscillatory magnetic potentials

作者：Feng, Binhua^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2017, 156: 275-285.

DOI：10.1016/j.na.2017.02.028

• Nonlinear Schrodinger equation
• Averaged equation
• Convergence

We study a nonlinear Schrodinger equation with a time-dependent electromagnetic field potential which arises as an effective single particle model in X-ray Free Electron Lasers (XFEL). This equation is the fundamental model in XFEL. We prove the global well-posedness for this equation with an energy subcritical nonlinearity. We extend the study of Antonelli et al. (2014) to power nonlinearity with exponent 3/4 <= sigma < 4, and our results confirm some numerical results of Huang et al. (2014).

• 出版日期2017-6
• 单位西北师范大学