Schauder estimates for equations with cone metrics, II

We continue our work on the linear theory for equations with conical singularities.We derive interior Schauder estimates for linear elliptic and parabolic equations with a background Kähler metric of conical singularities along a divisor of simple normal crossings.As an application, we prove the short-time existence of the conical Kähler-Ricci flow with conical singularities along a divisor with simple normal crossings.1. Introduction 757 2. Preliminaries 763 3. Elliptic estimates 766 4. Parabolic estimates 807 5. Conical Kähler-Ricci flow 825 References 828