Yamabe flow on manifolds with edges

Details Yamabe flow on manifolds with edges Yamabe flow on manifolds with edges

2011-07-26

arxiv.org/abs/1107.5350v1

Mathematics

Analysis of PDEs

Scientific paper

This article studies local existence and uniqueness of Yamabe flow within a class of compact Riemannian manifolds with incomplete edge singularities. Our main analytic step is to establish parabolic Schauder-type estimates for the heat operator on a class of edge singular spaces. We apply these estimates to obtain local existence for certain quasilinear equations, including the Yamabe flow.

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