Calderon-Zygmund estimates for higher order elliptic equations from composite material

초록

We study Calderon-Zygmund estimates for the weak solution to divergence-form higher order elliptic equations. We assume that the domain is composed of disjoint subdomains of delta-Reifenberg flat condition and the coefficients are merely measurable in one variable and have small bounded mean oscillation (BMO) in the other variables. Based on our new understanding for the relation between these assumptions and composite material, we establish Wm,p estimates for 2m-th order elliptic equations.

키워드