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arxiv: 1511.02185 · v1 · pith:X5SYLILBnew · submitted 2015-11-06 · 🧮 math.AP · math.DG

Moduli of Continuity for Viscosity Solutions on Manifolds

classification 🧮 math.AP math.DG
keywords solutionsmanifoldsviscositycitecontinuityworkandrewsauthor
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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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