| Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition |
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| 作者姓名： | Wen Jun SUN Shu WANG |
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| 作者单位： | [1]LCP, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100080, P. R. China [2]College of Applied Science, Beijing University of Technology, Ping Le Yuan, Chao Yang District, Beijing 100022, P. R. China |
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| 基金项目： | The second author supported by the NSFC （Grant No.10471009） and BSFC （Grant No.1052001） |
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| 摘 要： | In this paper, we obtain the necessary and sufficient conditions on the global existence of all positive （weak） solutions to a nonlinear degenerate parabolic equation with nonlinear boundary condition.
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| 关 键 词： | 非线性退化抛物线方程 边界条件 存在性 正解 |
| 收稿时间： | 2002-01-28 |
| 修稿时间： | 2002-01-282003-10-22 |
Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition |
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| Wen Jun SUN Shu WANG.Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition[J].Acta Mathematica Sinica,2005,21(4):847-854. |
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| Authors: | Wen Jun Sun Shu Wang |
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| Institution: | (1) LCP, Institute of Applied Physics and Computational Mathematics, 8009, Beijing 100088, P. R. China;(2) College of Science, Beijing University of Technology, Ping Le Yuan, Chao Yang District, Beijing 100022, P. R. China |
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| Abstract: | In this paper, we obtain the necessary and sufficient conditions on the global existence of all positive (weak) solutions
to a nonlinear degenerate parabolic equation with nonlinear boundary condition.
Supported by National Youth Natural Science Foundation of China (Grant No. 10001034) and the Austrian–Chinese Scientific–Technical
Cooperation Agreement |
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| Keywords: | Nonlinear degenerate parabolic equation Global existence Blow-up |
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