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阻尼非线性Schr?dinger方程解的时间衰减估计（英文）
Time decay of solutions to the damped nonlinear Schr?dinger equations
【摘要】 研究了满足强耗散条件Iλ<0,■ 的一维阻尼非线性Schr?dinger方程的初始值问题。在初始值■较大的条件下，讨论了此类阻尼非线性Schr?dinger方程解的时间衰减估计和长时间渐近行为。
【Abstract】 The initial value problem for the damped nonlinear Schr?dinger equation satisfying the strong dissipative conditions Iλ < 0 and ■ 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 ■ which belong to ■ are studied.
【关键词】 阻尼非线性Schr?dinger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；
【Key words】 damped nonlinear Schr?dinger equations； time decay estimates； strong dissipative conditions； initial value problem； large time asymptotic behavior；
【Key words】 damped nonlinear Schr?dinger equations； time decay estimates； strong dissipative conditions； initial value problem； large time asymptotic behavior；
【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)
- 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2022年01期
- 【分类号】O175.29
- 【下载频次】21