王磊, 党金宝, 林国广. 分数次非线性Schrodinger方程的整体吸引子及维数估计[J]. 云南大学学报(自然科学版), 2010, 32(2): 130-135 .
引用本文: 王磊, 党金宝, 林国广. 分数次非线性Schrodinger方程的整体吸引子及维数估计[J]. 云南大学学报(自然科学版), 2010, 32(2): 130-135 .
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WANG Lei, DANG Jin-bao, LIN Guo-guang. The global attractor of the fractional nonlinear Schrodinger equation and the estimate of its dimension[J]. Journal of Yunnan University: Natural Sciences Edition, 2010, 32(2): 130-135 .
Citation: WANG Lei, DANG Jin-bao, LIN Guo-guang. The global attractor of the fractional nonlinear Schrodinger equation and the estimate of its dimension[J]. Journal of Yunnan University: Natural Sciences Edition, 2010, 32(2): 130-135 .
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分数次非线性Schrodinger方程的整体吸引子及维数估计

The global attractor of the fractional nonlinear Schrodinger equation and the estimate of its dimension

    摘要
  • 摘要: 讨论一类分数次非线性Schrodinger方程解的长时间行为,证明了此类方程整体吸引子存在及该吸引子的Hausdorff维数和fractal维数有限.

     

    Abstract: It is discussed for that the long-time behavior of solution of the fractional nonlinear Schrodinger equation.It is proved for that the existence of global attractor and Hausdorff dimension and fractal dimension of the attractor is limited for such equation.

     

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