On Lp Estimates in Homogenization of Elliptic Equations of Maxwell's Type
Zhongwei Shen, Liang Song · arXiv (Cornell University) · 2012
For a family of second-order elliptic systems of Maxwell's type with rapidly oscillating periodic coefficients in a $C^{1, α}$ domain $Ω$, we establish uniform estimates of solutions $u_\varep$ and $ abla \times u_\varep$ in $L^p(Ω)$ for $1