A weighted LpLp-theory for divergence type parabolic PDEs with BMO coefficients on C1C1-domains

In this paper we present a weighted LpLp-theory of parabolic equations of divergence type defined on C1C1-domains. The leading coefficients have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation), and lower order coefficients are allowed to be unbounded and to blow up near the boundary.