| 一类抛物型方程边界条件的均匀化模型及证明 |
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| 引用本文： | 徐传胜,徐传芳.一类抛物型方程边界条件的均匀化模型及证明[J].数学的实践与认识,2005,35(1):208-214. |
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| 作者姓名： | 徐传胜 徐传芳 |
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| 作者单位： | 临沂师范学院数学系,山东,临沂,276001 |
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| 摘 要： | 设伪抛物问题边界 Ω =Γ可表为Γ =Γ0 ∪Γ1,对任意ε>0 ,将Γ1分为Γε1和Γε1,并在其上给出不同的边界条件 ;讨论了几种当Γε1的每一连通分支的直径或沿某方向的直径随ε趋于零而趋于零时的相应解的极限性态 .
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| 关 键 词： | 伪抛物方程 非线性边界条件 均匀化 |
| 修稿时间： | 2003年12月30 |
The Model of Homogenization of Boundary Conditions for a Parabolic Equations and Proof |
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| XU Chuan-sheng,XU Chuan-fang.The Model of Homogenization of Boundary Conditions for a Parabolic Equations and Proof[J].Mathematics in Practice and Theory,2005,35(1):208-214. |
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| Authors: | XU Chuan-sheng XU Chuan-fang |
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| Abstract: | Let the boundary for the pseuoparabolic equations ΩΓ be represented as ΓΓ 0∪Γ 1 for each ε>0, we consider a partition of Γ 1 into two subsets Γε 1 and ε 1 on which the different boundary conditions are giver and discuss the behaviors of solutions for some cases when going to zero with ε for some given linear subspace direction. |
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| Keywords: | pseuoparabolic equations nonlinear boundary conditions homogenization |
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