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Moduli of Continuity for Viscosity Solutions on Manifolds

Analysis of PDEs 2015-11-09 v1 Differential Geometry

Abstract

We establish the estimates of modulus of continuity for viscosity solutions of nonlinear evolution equations on manifolds, extending previous work of B. Andrews and J. Clutterbuck for regular solutions on manifolds \cite{AC3} and the first author's recent work for viscosity solutions in Euclidean spaces \cite{me1}.

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Cite

@article{arxiv.1511.02185,
  title  = {Moduli of Continuity for Viscosity Solutions on Manifolds},
  author = {Xiaolong Li and Kui Wang},
  journal= {arXiv preprint arXiv:1511.02185},
  year   = {2015}
}

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16 pages