| 一类退化抛物方程的边值问题 |
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| 引用本文： | 周文书,魏晓丹.一类退化抛物方程的边值问题[J].东北数学,2006,22(1):37-45. |
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| 作者姓名： | 周文书 魏晓丹 |
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| 作者单位： | School of Mathematics，Neusoft Institute of Information Jilin University，Changchun，130012，Northeastern University，Dalian，116023 |
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| 基金项目： | Young Teachers Foundation (420010302318) of Jilin University |
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| 摘 要： | In this paper, we study the boundary value problem (BVP) for a degenerate parabolic equation. By introducing a proper notion of weak solutions, we prove the uniqueness and existence of weak solutions of the problem. The localization of weak solutions is also discussed, which plays a key role in the proof of the uniqueness.
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| 关 键 词： | 退化抛物线方程 存在性 唯一性 边值问题 BVP |
BVP for a Degenerate Parabolic Equation |
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| ZHOU Wen-shu,WEI Xiao-dan.BVP for a Degenerate Parabolic Equation[J].Northeastern Mathematical Journal,2006,22(1):37-45. |
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| Authors: | ZHOU Wen-shu WEI Xiao-dan |
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| Institution: | [1]School of Mathematics, Jilin University, Changchun, 130012 [2]Neusoft Institute of Information, Northeastern University, Dalian, 116023 |
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| Abstract: | In this paper, we study the boundary value problem (BVP) for a degenerate parabolic equation. By introducing a proper notion of weak solutions, we prove the uniqueness and existence of weak solutions of the problem. The localization of weak solutions is also discussed, which plays a key role in the proof of the uniqueness. |
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| Keywords: | degenerate parabolic equation boundary value problem existence uniqueness localization |
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