Moduli of Continuity for Viscosity Solutions on Manifolds

Xiaolong Li; Kui Wang

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arXiv · 1511.02185

Moduli of Continuity for Viscosity Solutions on Manifolds

Xiaolong Li·Kui Wang

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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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Xiaolong Li, Kui Wang. 2015-11-06. Moduli of Continuity for Viscosity Solutions on Manifolds. https://arxiv.org/abs/1511.02185

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