阻尼非线性SchrÖdinger方程解的时间衰减估计  

Time decay of solutions to the damped nonlinear SchrÖdinger equations

作　　者：宋媛 韩琦悦 李春花[1] 砂川秀明 SONG Yuan;HAN Qiyue;LI Chunhua;SUNAGAWA Hideaki(College of Science,Yanbian University,Yanji 133002,China;Graduate School of Science,Osaka Metropolitan University,Osaka 558-8585,Japan)

机构地区：[1]延边大学理学院,延吉133002 [2]大阪公立大学理学研究生院,大阪558-8585

出　　处：《黑龙江大学自然科学学报》2022年第1期18-23,共6页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China(11461074);the Program for Young and Middle-aged Leading Talents in Scientific and Technological Innovation of Jilin Province(20200301053RQ)。

摘　　要：研究了满足强耗散条件Iλ<0,|Iλ|>((p-1)/2√p)|Rλ|的一维阻尼非线性SchrÖdinger方程的初始值问题。在初始值||v_(0)(x)||H^(0,θ)(R)(1/2<θ≤1)较大的条件下,讨论了此类阻尼非线性SchrÖdinger方程解的时间衰减估计和长时间渐近行为。The initial value problem for the damped nonlinear SchrÖdinger equation satisfying the strong dissipative conditions Iλ<0 and|Iλ|≥((p-1)/2√p)|Rλ|in one space dimension is considered in this paper.Time decay estimates and large time behavior of solutions to the damped nonlinear Schr?dinger equation for large initial data||H^(0,θ)(R)(1/2<θ≤1)which belong to are studied.

关 键 词：阻尼非线性SchrÖdinger方程 时间衰减估计 强耗散条件 初始值问题 长时间渐近行为 

分 类 号：O175.29[理学—数学]