| MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION |
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| 引用本文： | 李艳玲,马逸尘.MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION[J].数学物理学报(B辑英文版),2005,25(2):248-258. |
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| 作者姓名： | 李艳玲 马逸尘 |
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| 作者单位： | [1]DepartmentofMathematics,ShaanxiNormalUniversity,Xi＇an710062,China [2]SchoolofScience,Xi＇anJiaotongUniversity,Xi＇an710049,China |
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| 基金项目： | 国家自然科学基金，教育部优秀青年教师资助计划 |
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| 摘 要： | The paper first deals with the existence of the maximal attractor of classical solution for reaction diffusion equation with dispersion, and gives the sup-norm estimate for the attractor. This estimate is optimal for the attractor under Neumann boundary condition. Next, the same problem is discussed for reaction diffusion system with uniformly contracting rectangle, and it reveals that the maximal attractor of classical solution for such system in the whole space is only necessary to be established in some invariant region.Finally, a few examples of application are given.
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| 关 键 词： | 最大吸引子 反映扩散方程 经典解 矩形收缩 纽曼边界条件 存在性 偏微分方程 |
| 收稿时间： | 29 November 2002 |
MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION |
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| Li Yanling,Ma Yicheng.MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION[J].Acta Mathematica Scientia,2005,25(2):248-258. |
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| Authors: | Li Yanling Ma Yicheng |
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| Institution: | 1. School of Science, Xi''an Jiaotong University, Xi''an 710049, China;2. Department of Mathematics, Shaanxi Normal University, Xi''an 710062, China;1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China;2. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, PR China;3. College of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, PR China |
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| Abstract: | The paper first deals with the existence of the maximal attractor of classical solution for reaction diffusion equation with dispersion, and gives the sup-norm estimate for the attractor. This estimate is optimal for the attractor under Neumann boundary condition. Next, the same problem is discussed for reaction diffusion system with uniformly contracting rectangle, and it reveals that the maximal attractor of classical solution for such system in the whole space is only necessary to be established in some invariant region.Finally, a few examples of application are given. |
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| Keywords: | Maximal attractor reaction-diffusion equation classical solution contracting rectangle |
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