一类抛物型方程边界条件的均匀化模型及证明  

The Model of Homogenization of Boundary Conditions for a Parabolic Equations and Proof

作　　者：徐传胜[1] 徐传芳[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276001

出　　处：《数学的实践与认识》2005年第1期208-214,共7页Mathematics in Practice and Theory

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Γε1,并在其上给出不同的边界条件 ;讨论了几种当Γε1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 .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.

关 键 词：抛物型方程 极限性态 抛物问题 边界条件 连通分支 证明 均匀化 方向 直径 模型 

分 类 号：O175.26[理学—数学] G633[理学—基础数学]