Nonlinear Schrodinger systems in 2d with nondecaying final data

作者：Hayashi, Nakao^*; Li, Chunhua; Naumkin, Pavel I.

来源：Journal of Differential Equations, 2016, 260(2): 1472-1495.

DOI：10.1016/j.jde.2015.09.033

• Modified wave operator
• Nonlinear Schrodinger systems
• Nondecaying final data

We consider nonlinear Schrodinger systems with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators and uniform time decay of solutions when the Fourier transform of the final data does not necessarily decay at spatial infinity and is small in uniform norm.

• 出版日期2016-1-15
• 单位延边大学