| 带逆平方势的非线性Shr(o)dinger方程整体吸引子及其维数估计 |
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| 引用本文： | 何素芳.带逆平方势的非线性Shr(o)dinger方程整体吸引子及其维数估计[J].西南师范大学学报(自然科学版),2006,31(5). |
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| 作者姓名： | 何素芳 |
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| 作者单位： | 涪陵师范学院,初等教育学院,重庆,涪陵,408000 |
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| 摘 要： | 研究了带逆平方势的非线性Shr(o)dinger方程的长时间动力学行为,证明了整体吸引子的存在性,并给出了整体吸引子的Hausdorff维数和Fractal维数的上界估计.
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| 关 键 词： | 非线性Shr(o)dinger方程 整体吸引子 Hausdorff维数 Fractal维数 |
The Global Attractor and Its Dimensions for the Nonlinear Schr(o)dinger Equation with Inverse-Square Potential |
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| HE Su-fang.The Global Attractor and Its Dimensions for the Nonlinear Schr(o)dinger Equation with Inverse-Square Potential[J].Journal of Southwest China Normal University(Natural Science),2006,31(5). |
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| Authors: | HE Su-fang |
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| Abstract: | In this paper, the long time behavior of solutions for the nonlinear Schr(o)dinger equation with inversesquare potential are studied. The existence of the global attractor is proved, and the estimates of the upper bounds of Hausdorff and Fractal dimensions of the global attractors are obtained. |
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| Keywords: | nonlinear Schr(o)dinger equation global attractor Hausdorff dimensions Fractal dimensions |
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