| Doubly Degenerate Parabolic Equation with Nonlinear Inner and Boundary Sources |
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| 作者姓名： | 姜朝欣 |
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| 作者单位： | JIANG Zhao-xin（Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024） |
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| 基金项目： | Foundation item： The NNSF （10471013, 10771024） of China. |
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| 摘 要： | This paper deals with blow-up criterion for a doubly degenerate parabolic equation of the form (un)t = (|ux|m-1ux)x up in (0, 1) × (0, T) subject to nonlinear boundary source (|ux|m-1ux)(1,t) = uq(1,t), (|ux|m-1ux)(0,t) = 0, and positive initial data u(x,0) = uo(x), where the parameters m, n, p, q ＞ 0.It is proved that the problem possesses global solutions if and only if p ≤ n and q≤min{n, m(n 1)/ m 1}.
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| 关 键 词： | 非线性内部源 边界流 双重退化方程 抛物型方程式 |
| 文章编号： | 1000-1778（2007）05-0464-07 |
| 收稿时间： | 2007-07-12 |
| 修稿时间： | 2007年7月12日 |
Doubly Degenerate Parabolic Equation with Nonlinear Inner and Boundary Sources |
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| JIANG Zhao-xin.Doubly Degenerate Parabolic Equation with Nonlinear Inner and Boundary Sources[J].Northeastern Mathematical Journal,2007,23(5):464-470. |
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| Authors: | JIANG Zhao-xin |
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| Abstract: | |
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| Keywords: | doubly degenerate nonlinear parabolic equation blow-up inner source boundary source global solution |
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