| 一类非线性抛物型变分不等方程的全局吸引子及弱近似惯性流形 |
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| 引用本文： | 黄煜.一类非线性抛物型变分不等方程的全局吸引子及弱近似惯性流形[J].数学进展,1997(4). |
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| 作者姓名： | 黄煜 |
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| 作者单位： | 中山大学数学系 |
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| 基金项目： | 国家自然科学基金,广东省博士后基金 |
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| 摘 要： | 对由一类非线性抛物型变分不等方程所描述的无穷维动力系统，给出了存在全局吸引子及弱近似惯性流形的充分条件．
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| 关 键 词： | 全局吸引子 惯性流形 无穷维动力系统 |
The Global Attractors and Weakly Approximate Inertial Manifolds for a Class of Nonlinear Parabolic Inequalities |
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| Huang Yu.The Global Attractors and Weakly Approximate Inertial Manifolds for a Class of Nonlinear Parabolic Inequalities[J].Advances in Mathematics,1997(4). |
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| Authors: | Huang Yu |
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| Abstract: | The infinite dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities are considered. The sufficient conditions for existence of the global attractor and weakly approximate inertial manifold of the system are given. |
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| Keywords: | global attractor inertial manifold infinite dimensional dynamical system |
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