| SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION |
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| 作者姓名： | 姚正安 周文书 |
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| 作者单位： | Department of Mathematics Zhongshan University，Department of Mathematics，Zhongshan University，Guangzhou 510275，China，Guangzhou 510275，China Department of Mathematics，Jilin University，Changchun 130012，China |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | In this article,a degenerate and singular diffusion problem is studied.The ex- istence of solutions is established by parabolic regularization.Some properties of solutions, for instance,asymptotic behavior,are also discussed.
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| 关 键 词： | 奇异扩散方程 弱解 存在性 渐近性 |
| 修稿时间： | 2004-12-14 |
Some results on a degenerate and singular diffusion equation |
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| Zheng''an Yao,Wenshu Zhou,.SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION[J].Acta Mathematica Scientia,2007,27(3):581-601. |
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| Authors: | Zheng'an Yao Wenshu Zhou |
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| Institution: | 1.Department of Mathematics, Zhongshan University, Guangzhou 510275, China ;2. Department of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | In this article, a degenerate and singular diffusion problem is studied. The existence of solutions is established by parabolic regularization. Some properties of solutions, for instance, asymptotic behavior, are also discussed. |
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| Keywords: | Degenerate and singular diffusion equation weak solution existence asymp totic behavior |
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