Moduli of Continuity for Viscosity Solutions on Manifolds

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• 作者：Xiaolong Li ; Kui Wang
• 关键词：Modulus of continuity ; Viscosity solutions ; Nonlinear evolution equations on manifolds
• 刊名：The Journal of Geometric Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：27
• 期：1
• 页码：557-576
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Differential Geometry; Convex and Discrete Geometry; Fourier Analysis; Abstract Harmonic Analysis; Dynamical Systems and Ergodic Theory; Global Analysis and Analysis on Manifolds;
• 出版者：Springer US
• ISSN：1559-002X
• 卷排序：27

文摘

We establish the estimates of modulus of continuity for viscosity solutions of nonlinear evolution equations on manifolds, extending previous work of Andrews and Clutterbuck for regular solutions on manifolds (Andrews and Clutterbuck in Anal PDE 6(5):1013–1024, 2013) and the first author’s recent work for viscosity solutions in Euclidean spaces (Li in Proc Am Math Soc 144(4):1717–1724, 2016).