| 带非局部源的退化拟线性抛物型方程解的存在性 |
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| 引用本文： | 张为元,李俊林.带非局部源的退化拟线性抛物型方程解的存在性[J].吉林化工学院学报,2006,23(3):84-85,88. |
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| 作者姓名： | 张为元 李俊林 |
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| 作者单位： | 太原科技大学,应用科学学院,山西,太原,030024 |
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| 摘 要： | 考虑一类非线性退化抛物型方程初边值问题,分别用正则化方法和上下解方法在一定条件下证得方程的古典解的存在性及解的整体存在性．
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| 关 键 词： | 退化抛物型方程 存在性 非局部源 |
| 文章编号： | 1007-2853（2006）03-0084-02 |
| 收稿时间： | 2006-05-15 |
| 修稿时间： | 2006-05-15 |
Existence of the solutions of nonlinear degenerate diffusion equation |
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| ZHANG Wei-yuan,LI Jun-lin.Existence of the solutions of nonlinear degenerate diffusion equation[J].Journal of Jilin Institute of Chemical Technology,2006,23(3):84-85,88. |
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| Authors: | ZHANG Wei-yuan LI Jun-lin |
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| Affiliation: | School of Applied Science, TaiYuan University of Science and Technology, TaiYuan 030024, China |
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| Abstract: | The Dirichlet initial-boundary conditions of the class I nonlinear degenerate parabolic equation are considered in this paper. Under appropriate hypotheses, the existence of a positive solution is proved by the method of regularization and upper-lower solution. The global existence is obtained. |
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| Keywords: | degenerate parabolic equation existence nonlocal source |
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