论文标题
在抛物线质化中，近似两球的单缸不平等
Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization
论文作者
论文摘要
在本文中，对于具有迅速振荡和时间依赖性周期系数的二阶抛物线方程的家族，我们对这些溶液在抛物线周期性均质化中对这些溶液的近似两杆一缸不平等感兴趣，这意味着近似小的定量繁殖。证明依赖于基本解决方案的渐近行为和拉格朗日插值技术。
In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique.
