| 拟线性抛物型不等方程整体解的不存在性 |
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| 引用本文： | 魏公明,陈祖墀.拟线性抛物型不等方程整体解的不存在性[J].中国科学技术大学学报,2004,34(3):273-282. |
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| 作者姓名： | 魏公明 陈祖墀 |
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| 作者单位： | 中国科学技术大学数学系,安徽合肥,230026 |
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| 基金项目： | TheprojectsupportedbyNNSFofChina (No .10 0 710 80andNo .10 10 10 2 4) |
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| 摘 要： | 利用先验估计和一些经典不等式证明了一类拟线性抛物型不等方程整体解的不存在性 ,并给出了一类具较强拟线性的抛物型不等式方程整体解的比较原理 ,得到的结果不需要假设初值条件
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| 关 键 词： | 拟线性抛物型不等方程 整体解 不存在性 |
Nonexistence of Global Positive Solutions for Quasi-linear Parabolic Inequalities |
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| Abstract.Nonexistence of Global Positive Solutions for Quasi-linear Parabolic Inequalities[J].Journal of University of Science and Technology of China,2004,34(3):273-282. |
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| Authors: | Abstract |
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| Abstract: | A nonexistence theorem for global positive solutions of a class of quasilinear parabolic inequalities is established. For a class of strong quasilinear parabolic inequalities, a comparison theorem is proved. One of the features of our nonexistence theory and comparison theorem is that no initial conditions are assumed. Our ideas are a priori estimates and some classical inequalities are our mail tools. |
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| Keywords: | quasilinear parabolic inequality global solution nonexistence comparison theorem |
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