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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (2): 180-189.

• 论文 • 上一篇    下一篇

ATTRACTORS OF NONAUTONOMOUS SCHRÖDINGER EQUATIONS

刘玉荣1,3, 刘曾荣2, 郑永爱2,3   

  1. 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
  • 收稿日期:2000-01-28 修回日期:2000-09-19 出版日期:2001-02-18 发布日期:2001-02-18

ATTRACTORS OF NONAUTONOMOUS SCHRÖDINGER EQUATIONS

LIU Yu-rong1,3, LIU Zeng-rong2, ZHENG Yong-ai 2,3   

  1. 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
  • Received:2000-01-28 Revised:2000-09-19 Online:2001-02-18 Published:2001-02-18

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摘要： The long-time behaviour of a two-dimensional nonautonomous nonlinear Schrödinger equation is considered. The existence of uniform attractor is proved and the upper bound of the uniform attractor’s Hausdorff dimension is given.

关键词: Hausdorff dimension, nonautonomous Schrödinger equations, uniform attractor

Abstract: The long-time behaviour of a two-dimensional nonautonomous nonlinear Schrödinger equation is considered. The existence of uniform attractor is proved and the upper bound of the uniform attractor’s Hausdorff dimension is given.

Key words: nonautonomous Schrödinger equations, uniform attractor, Hausdorff dimension

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