论文标题
一类高度振荡的非周期电位的线性椭圆均质化
Linear elliptic homogenization for a class of highly oscillating non-periodic potentials
论文作者
论文摘要
我们考虑二阶椭圆方程$-ΔU^{\ varepsilon} + \ dfrac {1} {\ varepsilon} v（./ \ varepsilon）u^{\ varepsilon）u^{\ varepsilon}非周期性电势。我们显示了适应的校正器的存在，并证明了$ u^{\ varepsilon} $的收敛性。
We consider an homogenization problem for the second order elliptic equation $- Δu^{\varepsilon} + \dfrac{1}{\varepsilon} V(./\varepsilon) u^{\varepsilon} + νu^{\varepsilon} =f$ when the highly oscillatory potential $V$ belongs to a particular class of non-periodic potentials. We show the existence of an adapted corrector and prove the convergence of $u^{\varepsilon}$ to its homogenized limit.
