非自治的Schr-dinger方程的吸引子

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Attractors of Nonautonomous Schr-dinger Equations

1.
Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China;
2.
Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China;
3.
Department of Mathematics, Yangzhou University, Yangzhou 225002, P. R. China

摘要: 研究2维的非自治非线性Schr-dinger方程长时间的动力学行为.证明了一致吸引子的存在性,并给出了该一致吸引子Hausdorff维数的上界.
- 非自治NLS方程 /
- 一致吸引子 /
- Hausdorff维数
Abstract: The long-time behaviour of a two-dimensional nonautonomous nonlinear Schr-dinger equation is considered. The existence of uniform attractor is proved and the upper bound of the uniform attractor's Hausdorff dimension is given.
- nonautonomous Schr? dinger equations /
- uniform attractor /
- Hausdorff dimension

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