| 非自治Schr dinger方程的近似惯性流形 |
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| 作者单位： | 四川师范大学学报(自然科学版)编辑部，四川师范大学数学与软件科学学院 四川成都610066四川师范大学数学与软件科学学院，四川成都610066，四川成都610066 |
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| 摘 要： | 研究具有耗散性质的非自治Schr dinger方程ut-(λ iα)Δu ( k iβ) | u|2u -γu =f(t ,x) ,运用具有两个参数的算子簇———“过程”来描述此无穷维动力系统,构建了其近似惯性流形,进一步获得此近似惯性流形逼近方程一致吸引子的阶数的近似估计.
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| 关 键 词： | 耗散 非自治 Schrdinger方程 近似惯性流形 |
Approximate Inertial Manifolds for the Non-autonomous Schrdinger Equations |
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| Authors: | LIU Gang |
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| Abstract: | In this paper, the dissipative non-autonomous Schrdinger equationut-( i)u (k i)|u|~2u-u=f(t,x)is studied. Applying the process which describes the infinite dynamical system using the operator family of two parameters, the approximate inertial manifolds(AIM) is constructed. Furthermore, the estimate of the order to the AIM which approachs the global attractor has been obtained. |
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| Keywords: | Dissipative Non-autonomous Schrdinger equations Approximate inertial manifolds |
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