| 二阶拟线性退化抛物方程Cauchy问题弱解的存在性 |
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| 引用本文： | 胡文燕.二阶拟线性退化抛物方程Cauchy问题弱解的存在性[J].忻州师范学院学报,2012,28(2):3-4. |
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| 作者姓名： | 胡文燕 |
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| 作者单位： | 晋中学院,山西晋中,030600 |
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| 摘 要： | 对于拟线性退化抛物方程,很多学者已经对其Cauchy问题的粘性解进行了讨论,但如果考虑的是弱解,将会有不同的处理方法,文章对一类二阶拟线性退化抛物方程的Cauchy问题进行了研究,利用压缩半群理论,证明了其弱解的存在性。
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| 关 键 词： | 退化抛物方程 压缩半群理论 弱解 |
The Existence of Weak Solution for the Cauchy Problem of Second Order Quasilinear Degenerate Parabolic Equation |
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| HU Wen-yan.The Existence of Weak Solution for the Cauchy Problem of Second Order Quasilinear Degenerate Parabolic Equation[J].Journal of Xinzhou Teachers University,2012,28(2):3-4. |
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| Authors: | HU Wen-yan |
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| Institution: | HU Wen-yan(Jinzhong University,Jinzhong 030600,China) |
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| Abstract: | For a quasilinear degenerate parabolic equation,many scholars have discussed its Viscosity solution of the Cauchy problem,but if considerating the weak solution,it will have a different treatment method.This article does some research summary on the Cauchy problem of a second order quasilinear degenerate parabolic equation,and proves the existence of the weak solution of the Cauchy problem by using the contraction semigroup theory. |
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| Keywords: | degenerate parabolic equation contraction semigroup theory weak solution |
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