摘要
研究了具有二次耗散非线性项的二维薛定谔方程组的柯西问题。在质量共振条件下,讨论了此类非线性薛定谔方程组小初值问题整体解的存在性,并推导出了其整体解的时间衰减估计。
The Cauchy problem for systems of two dimensional Schr dinger equations with quadratic dissipative nonlinearities is considered.In the case of the mass resonance,the existence of global solutions to the nonlinear Schr dinger systems with small initial data is discussed and time decay estimates of global solutions are derived.
作者
唐舒颀
李春花
TANG Shuqi;LI Chunhua(College of Science,Yanbian University,Yanji 133002,China)
出处
《黑龙江大学自然科学学报》
CAS
2023年第2期160-169,共10页
Journal of Natural Science of Heilongjiang University
基金
Supported by the Education Department of Jilin Province of China(JJKH20220527KJ)
the Program for Young and Middle-aged Leading Talents in Scientific and Technological Innovation of Jilin Province(20200301053RQ)。
关键词
薛定谔方程组
二次耗散非线性项
解的时间衰减估计
质量共振条件
systems of Schr dinger equations
quadratic dissipative nonlinearities
time decay estimates of solutions
mass resonance conditions
