| 一个奇异抛物方程Neumann问题的可解性(英文) |
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| 引用本文： | 李刚.一个奇异抛物方程Neumann问题的可解性(英文)[J].东北数学,2008,24(1):10-18. |
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| 作者姓名： | 李刚 |
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| 作者单位： | Department of Mathematics;Southeast University; |
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| 摘 要： | The qualitative properties of solutions of a Neumann problem for the singular parabolic equation ut = （u^m-1 ux）x （-1 〈 m ≤0） is studied in this paper. It is proved that there exists a unique global smooth solution which depends on the initial value. The large time behavior of the solutions is also discussed.
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| 关 键 词： | 奇异抛物方程 NEUMANN问题 可解性 偏微分方程 |
The Solvability of Neumann Problem for a Singular Parabolic Equation |
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| LI Gang.The Solvability of Neumann Problem for a Singular Parabolic Equation[J].Northeastern Mathematical Journal,2008,24(1):10-18. |
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| Authors: | LI Gang |
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| Institution: | Department of Mathematics, Southeast University, Nanjing, 210018 |
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| Abstract: | The qualitative properties of solutions of a Neumann problem for the singular parabolic equation ut=(um-1ux)x(-1＜m≤0)is studied in this paper.It is proved that there exists a unique global smooth solution which depends on the initial value.The large time behavior of the solutions is also discussed. |
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| Keywords: | singularity parabolic equation Neumann problem |
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