| 一类变指数退化抛物方程的解 |
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| 引用本文： | 许文彬.一类变指数退化抛物方程的解[J].集美大学学报(自然科学版),2021,26(6):0-0. |
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| 作者姓名： | 许文彬 |
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| 作者单位： | (集美大学理学院,福建 厦门 361021) |
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| 摘 要： | 考虑如下的变指数退化抛物方程 解的适定性问题。利用抛物正则化方法证明了解的存在性。对检验函数适当选取，证明了解的唯一性。在边界 上，扩散系数b(x,t)=0，解的唯一性可以不依赖于边界条件。
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| 关 键 词： | 退化抛物方程 存在性 唯一性 变指数 |
Solutions of a Kind of Degenerate Parabolic Equation with Variable Exponent |
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| XU Wenbin.Solutions of a Kind of Degenerate Parabolic Equation with Variable Exponent[J].the Editorial Board of Jimei University(Natural Science),2021,26(6):0-0. |
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| Authors: | XU Wenbin |
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| Institution: | (School of ScienceJimei UniversityXiamen 361021China) |
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| Abstract: | The well posedness problem of a kind of degenerate parabolic equation were considered.By a parabolically regularized method，the existence of weak solutions was proved.By choosing a suitable test function，the uniqueness of weak solution was also proved.The diffusion ，the uniqueness theory could be established which was independent of the boundary value condition. |
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| Keywords: | degenerate parabolic equation existence uniqueness variable exponent |
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