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Schauder estimates for equations with cone metrics, II

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arxiv 1809.03116 v1 pith:43KONOUL submitted 2018-09-10 math.DG math.AP

classification math.DGmath.AP
keywords conicalequationssingularitiesalongcrossingsdivisorestimateslinear
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This is the continuation of our paper \cite{GS}, to study the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background K\"ahler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical K\"ahler-Ricci flow with conical singularities along a divisor with simple normal crossings.

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