伪抛物问题非线性边界条件的均匀化

The homogenization of nonlinear boundary conditions for pseuoparabolic equations

对于伪抛物问题讨论了当边界条件是非线性时的均匀化问题 ;设边界 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

In this paper, We discuss the homogenization of nonlinear boundary conditions for the pseuoparabolic equations. Let the boundary  Ω=Γ be represented as Γ=Γ 0∪Γ 1 for each ε>0, we consider a partition of Γ 1 into two subsets ε 1 and Γ ε 1 on which the different boundary conditions are giver and discuss the behaviour of solutions for some cases when each connected component of ε 1 has a diameter going to ero with ε or a directional thickness going to zero with ε for some given linear subspace direction.