| 非线性退化抛物方程古典解存在性的一个注记 |
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| 引用本文： | 王世祥,吕显瑞. 非线性退化抛物方程古典解存在性的一个注记[J]. 吉林大学学报(理学版), 1994, 0(4) |
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| 作者姓名： | 王世祥 吕显瑞 |
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| 作者单位： | 长春大学，吉林大学数学系 |
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| 摘 要： | 对非线性退化抛物方程第一边值问题的结果作了推广，证明了在一定条件下，广义解的存在性和唯一性。
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| 关 键 词： | 古典解，广义解，存在唯一性，退化抛物方程 |
A Note on the Existence of Classical Solutions for a Nonlinear Degenerate Parabolic Equation |
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| Wang Shixiang. A Note on the Existence of Classical Solutions for a Nonlinear Degenerate Parabolic Equation[J]. Journal of Jilin University: Sci Ed, 1994, 0(4) |
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| Authors: | Wang Shixiang |
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| Abstract: | The present paper considers a fully nonlinear degenerate parabolic equation.Theexistence of classical solutions of the first boundary value problem is proved under some suit-able structure conditions. In addition,uniqueness of generalized solutions is discussed. |
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| Keywords: | classical solution generalized solution existence uniqueness degenerateparabolic equation |
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