The Yamabe flow on incomplete manifolds
Analysis of PDEs
2019-06-19 v3
Abstract
This article is concerned with developing an analytic theory for second order nonlinear parabolic equations on singular manifolds. Existence and uniqueness of solutions in an Lp-framework is established by maximal regularity tools. These techniques are applied to the Yamabe flow. It is proven that the Yamabe flow admits a unique local solution within a class of incomplete initial metrics.
Keywords
Cite
@article{arxiv.1506.07018,
title = {The Yamabe flow on incomplete manifolds},
author = {Yuanzhen Shao},
journal= {arXiv preprint arXiv:1506.07018},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1502.06696